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Sheng, Yunhe

Co-Author Distance
Author ID: sheng.yunhe Recent zbMATH articles by "Sheng, Yunhe"
Published as: Sheng, Yunhe; Sheng, Yun He; Sheng, Yun-He; Sheng, Y. H.
Homepage: https://math.jlu.edu.cn/info/1636/10337.htm
External Links: MGP · ResearchGate
Documents Indexed: 115 Publications since 2007, including 12 Additional arXiv Preprints
Co-Authors: 48 Co-Authors with 106 Joint Publications
1,102 Co-Co-Authors
all top 5

Co-Authors

8 single-authored
28 Tang, Rong
22 Liu, Jiefeng
19 Bai, Chengming
13 Liu, Zhangju
10 Zhu, Chenchang
9 Guo, Li
9 Hou, Shuai
8 Jiang, Jun
8 Lang, Honglei
6 Zhou, Yanqiu
5 Li, Yunnan
4 Xu, Xiaomeng
3 Cai, Liqiang
3 Chen, Zhuo
3 Wang, Qi
3 Wang, You
2 Andrey, Lazarev
2 Bi, Yanhui
2 Guan, Ai
2 Lazarev, Andrey
1 Bai, Ruipu
1 Chen, Bo
1 Chen, Danhua
1 Chen, ShaoHan
1 Chen, Zhiqi
1 Frégier, Yaël
1 Goncharov, Maksim E.
1 Hu, Yuwang
1 Kolesnikov, Pavel Sergeevich
1 Li, Yumeng
1 Lin, Qian
1 Liu, Guilai
1 Liu, Meijun
1 Makhlouf, Abdenacer
1 Mishra, Satyendra Kumar
1 Morales, John Alexander Cruz
1 Pei, Yufeng
1 Sun, Geyi
1 Wade, Aïssa
1 Wagemann, Friedrich
1 Wang, Chunyue
1 Xia, Haobo
1 Xiong, Zhen
1 Xu, Nanyan
1 Zhang, Tao
1 Zhao, Kaiming
1 Zheng, Zhujun
1 Zhou, Guodong
all top 5

Serials

14 Journal of Algebra
10 Journal of Geometry and Physics
6 Communications in Mathematical Physics
6 International Journal of Geometric Methods in Modern Physics
5 Communications in Algebra
5 Letters in Mathematical Physics
4 Journal of Noncommutative Geometry
4 Science China. Mathematics
3 Pacific Journal of Mathematics
3 Algebras and Representation Theory
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Linear and Multilinear Algebra
2 Reports on Mathematical Physics
2 Advances in Mathematics (Beijing)
2 IMRN. International Mathematics Research Notices
2 Theory and Applications of Categories
2 Communications in Contemporary Mathematics
2 Journal of Algebra and its Applications
2 Journal of Geometric Mechanics
1 Journal of Mathematical Physics
1 Advances in Mathematics
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Results in Mathematics
1 Transactions of the American Mathematical Society
1 Forum Mathematicum
1 International Journal of Mathematics
1 Differential Geometry and its Applications
1 Journal of Lie Theory
1 Transformation Groups
1 Advances in Theoretical and Mathematical Physics
1 Acta Mathematica Sinica. English Series
1 The Journal of Symplectic Geometry
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Homotopy and Related Structures
1 Communications in Theoretical Physics
1 Communications in Mathematical Research
1 Scientia Sinica. Mathematica
all top 5

Fields

90 Nonassociative rings and algebras (17-XX)
33 Differential geometry (53-XX)
15 Associative rings and algebras (16-XX)
12 Category theory; homological algebra (18-XX)
11 Global analysis, analysis on manifolds (58-XX)
7 Topological groups, Lie groups (22-XX)
5 Algebraic topology (55-XX)
4 Quantum theory (81-XX)
3 Commutative algebra (13-XX)
3 Group theory and generalizations (20-XX)
2 Field theory and polynomials (12-XX)
1 Dynamical systems and ergodic theory (37-XX)
1 Difference and functional equations (39-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

88 Publications have been cited 1,061 times in 482 Documents Cited by ▼ Year ▼
Representations of hom-Lie algebras. Zbl 1294.17001
Sheng, Yunhe
150
2012
Hom-Lie 2-algebras. Zbl 1281.17034
Sheng, Yunhe; Chen, Danhua
56
2013
A new approach to hom-Lie bialgebras. Zbl 1345.17002
Sheng, Yunhe; Bai, Chengming
54
2014
Deformations and their controlling cohomologies of \(\mathcal{O}\)-operators. Zbl 1440.17015
Tang, Rong; Bai, Chengming; Guo, Li; Sheng, Yunhe
47
2019
Deformations and homotopy theory of relative Rota-Baxter Lie algebras. Zbl 1476.17010
Lazarev, Andrey; Sheng, Yunhe; Tang, Rong
30
2021
Integration and geometrization of Rota-Baxter Lie algebras. Zbl 1468.17026
Guo, Li; Lang, Honglei; Sheng, Yunhe
28
2021
Bialgebras, the classical Yang-Baxter equation and Manin triples for 3-Lie algebras. Zbl 1479.17008
Bai, Chengming; Guo, Li; Sheng, Yunhe
28
2019
Higher extensions of Lie algebroids. Zbl 1419.58015
Sheng, Yunhe; Zhu, Chenchang
25
2017
On Hom-Lie algebras. Zbl 1352.17031
Sheng, Yunhe; Xiong, Zhen
22
2015
Nijenhuis operators on \(n\)-Lie algebras. Zbl 1345.17006
Liu, Jie-Feng; Sheng, Yun-He; Zhou, Yan-Qiu; Bai, Cheng-Ming
22
2016
Cohomologies of a Lie algebra with a derivation and applications. Zbl 1455.17020
Tang, Rong; Frégier, Yaël; Sheng, Yunhe
21
2019
Leibniz 2-algebras and twisted Courant algebroids. Zbl 1337.17006
Sheng, Yunhe; Liu, Zhangju
20
2013
On higher analogues of Courant algebroids. Zbl 1248.53067
Bi, Yanhui; Sheng, Yunhe
20
2011
Purely Hom-Lie bialgebras. Zbl 1398.16032
Cai, Liqiang; Sheng, Yunhe
18
2018
Integration of semidirect product Lie 2-algebras. Zbl 1277.17012
Sheng, Yunhe; Zhu, Chenchang
17
2012
Hom-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroids. Zbl 1420.17022
Cai, Liqiang; Liu, Jiefeng; Sheng, Yunhe
17
2017
E-Courant algebroids. Zbl 1211.53096
Chen, Zhuo; Liu, Zhangju; Sheng, Yunhe
16
2010
Semidirect products of representations up to homotopy. Zbl 1267.17019
Sheng, Yunhe; Zhu, Chenchang
16
2011
Nijenhuis operators on pre-Lie algebras. Zbl 1439.17023
Wang, Qi; Sheng, Yunhe; Bai, Chengming; Liu, Jiefeng
16
2019
Integration of Lie 2-algebras and their morphisms. Zbl 1335.17008
Sheng, Yunhe; Zhu, Chenchang
15
2012
Compatible \(\mathcal{O}\)-operators on bimodules over associative algebras. Zbl 1420.13035
Liu, Jiefeng; Bai, Chengming; Sheng, Yunhe
14
2019
Lie 3-algebras and deformations of relative Rota-Baxter operators on 3-Lie algebras. Zbl 1464.17008
Tang, Rong; Hou, Shuai; Sheng, Yunhe
14
2021
Symplectic, product and complex structures on 3-Lie algebras. Zbl 1433.17005
Sheng, Yunhe; Tang, Rong
14
2018
Left-symmetric algebroids. Zbl 1354.18003
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming; Chen, Zhiqi
14
2016
Non-abelian extensions of Lie 2-algebras. Zbl 1280.17026
Chen, Shaohan; Sheng, Yunhe; Zheng, Zhujun
13
2012
Lie 2-bialgebras. Zbl 1308.17026
Bai, Chengming; Sheng, Yunhe; Zhu, Chenchang
13
2013
Representations and cohomologies of relative Rota-Baxter Lie algebras and applications. Zbl 1500.17016
Jiang, Jun; Sheng, Yunhe
13
2022
Deformations of relative Rota-Baxter operators on Leibniz algebras. Zbl 07807363
Tang, Rong; Sheng, Yunhe; Zhou, Yanqiu
13
2020
Leibniz bialgebras, relative Rota-Baxter operators, and the classical Leibniz Yang-Baxter equation. Zbl 1518.17004
Tang, Rong; Sheng, Yunhe
13
2022
On non-abelian extensions of Leibniz algebras. Zbl 1427.17044
Liu, Jiefeng; Sheng, Yunhe; Wang, Qi
13
2018
Omni-Lie 2-algebras and their Dirac structures. Zbl 1242.17026
Sheng, Yunhe; Liu, Zhangju; Zhu, Chenchang
12
2011
Dirac structures of omni-Lie algebroids. Zbl 1263.53074
Chen, Zhuo; Liu, Zhang Ju; Sheng, Yunhe
12
2011
A new approach to representations of 3-Lie algebras and abelian extensions. Zbl 1430.17011
Liu, Jiefeng; Makhlouf, Abdenacer; Sheng, Yunhe
12
2017
Hom-big brackets: theory and applications. Zbl 1332.17025
Cai, Liqiang; Sheng, Yunhe
10
2016
\(F\)-manifold algebras and deformation quantization via pre-Lie algebras. Zbl 1442.17003
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming
10
2020
Categorification of pre-Lie algebras and solutions of 2-graded classical Yang-Baxter equations. Zbl 1408.17009
Sheng, Yunhe
10
2019
The controlling \(L_\infty \)-algebra, cohomology and homotopy of embedding tensors and Lie-Leibniz triples. Zbl 1476.17015
Sheng, Yunhe; Tang, Rong; Zhu, Chenchang
10
2021
Hom-Lie algebras and Hom-Lie groups, integration and differentiation. Zbl 1498.17031
Jiang, Jun; Mishra, Satyendra Kumar; Sheng, Yunhe
10
2020
Deformations of Lie 2-algebras. Zbl 1362.17032
Liu, Zhangju; Sheng, Yunhe; Zhang, Tao
9
2014
On double vector bundles. Zbl 1318.58001
Chen, Zhuo; Liu, Zhang Ju; Sheng, Yun He
9
2014
Noncommutative Poisson bialgebras. Zbl 1475.17038
Liu, Jiefeng; Bai, Chengming; Sheng, Yunhe
9
2020
Pre-symplectic algebroids and their applications. Zbl 1390.17029
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming
8
2018
Kupershmidt-(dual-)Nijenhuis structures on a Lie algebra with a representation. Zbl 1398.17010
Hu, Yuwang; Liu, Jiefeng; Sheng, Yunhe
8
2018
Review of deformation theory I: concrete formulas for deformations of algebraic structures. Zbl 1463.16046
Guan, Ai; Andrey, Lazarev; Sheng, Yunhe; Tang, Rong
8
2020
On deformations of Lie algebroids. Zbl 1318.53094
Sheng, Yunhe
7
2012
Linear Poisson structures on \(\mathbb R^4\). Zbl 1131.53045
Sheng, Yunhe
7
2007
Left-symmetric bialgebroids and their corresponding Manin triples. Zbl 1431.53089
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming
7
2018
From Leibniz algebras to Lie 2-algebras. Zbl 1378.17007
Sheng, Yunhe; Liu, Zhangju
6
2016
QP-structures of degree 3 and \(\mathsf{CLWX}\) 2-algebroids. Zbl 1435.53061
Liu, Jiefeng; Sheng, Yunhe
6
2019
Cohomological characterizations of non-abelian extensions of strict Lie 2-algebras. Zbl 1462.17033
Tang, Rong; Sheng, Yunhe
6
2019
Review of deformation theory II: a homotopical approach. Zbl 1463.18001
Guan, Ai; Andrey, Lazarev; Sheng, Yunhe; Tang, Rong
6
2020
Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids. Zbl 1366.53064
Lang, Honglei; Sheng, Yunhe; Xu, Xiaomeng
6
2017
Maurer-Cartan characterizations and cohomologies of compatible Lie algebras. Zbl 1528.17016
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming
6
2023
The Pontryagin class for pre-Courant algebroids. Zbl 1401.17015
Liu, Zhangju; Sheng, Yunhe; Xu, Xiaomeng
5
2016
Twilled 3-Lie algebras, generalized matched pairs of 3-Lie algebras and \(\mathcal{O}\)-operators. Zbl 1475.17007
Hou, Shuai; Sheng, Yunhe; Tang, Rong
5
2021
Factorizable Lie bialgebras, quadratic Rota-Baxter Lie algebras and Rota-Baxter Lie bialgebras. Zbl 1529.17027
Lang, Honglei; Sheng, Yunhe
5
2023
Nijenhuis operators, product structures and complex structures on Lie-Yamaguti algebras. Zbl 1482.17048
Sheng, Yunhe; Zhao, Jia; Zhou, Yanqiu
5
2021
Generalized Reynolds operators on 3-Lie algebras and NS-3-Lie algebras. Zbl 07838304
Hou, Shuai; Sheng, Yunhe
5
2021
Relative Rota-Baxter operators and symplectic structures on Lie-Yamaguti algebras. Zbl 1512.17003
Sheng, Yunhe; Zhao, Jia
5
2022
Jacobi quasi-Nijenhuis algebroids. Zbl 1213.53101
Sheng, Yunhe
4
2010
Dirac structures for higher analogues of Courant algebroids. Zbl 1312.53104
Bi, Yanhui; Sheng, Yunhe
4
2015
Actions of monoidal categories and representations of Cartan type Lie algebras. Zbl 1521.17014
Pei, Yufeng; Sheng, Yunhe; Tang, Rong; Zhao, Kaiming
4
2023
Koszul-Vinberg structures and compatible structures on left-symmetric algebroids. Zbl 07816632
Wang, Qi; Liu, Jiefeng; Sheng, Yunhe
4
2020
Omni \(n\)-Lie algebras and linearization of higher analogues of Courant algebroids. Zbl 1375.53100
Liu, Jiefeng; Sheng, Yunhe; Wang, Chunyue
3
2017
\(\mathsf{VB}\)-Courant algebroids, \(\mathsf{E}\)-Courant algebroids and generalized geometry. Zbl 1400.53071
Lang, Honglei; Sheng, Yunhe; Wade, Aïssa
3
2018
Deformations, cohomologies and integrations of relative difference Lie algebras. Zbl 1519.17027
Jiang, Jun; Sheng, Yunhe
3
2023
Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation. Zbl 1535.22061
Bai, Chengming; Guo, Li; Sheng, Yunhe; Tang, Rong
3
2024
Nonabelian omni-Lie algebras. Zbl 1415.17020
Lang, Honglei; Sheng, Yunhe; Xu, Xiaomeng
3
2016
3-Lie\(_\infty\)-algebras and 3-Lie 2-algebras. Zbl 1419.17038
Zhou, Yanqiu; Li, Yumeng; Sheng, Yunhe
3
2017
Cohomologies, extensions and deformations of differential algebras of arbitrary weight. Zbl 1517.16007
Guo, Li; Li, Yunnan; Sheng, Yunhe; Zhou, Guodong
3
2022
Integration of derivations for Lie 2-algebras. Zbl 1387.17031
Lang, H. L.; Liu, Z. J.; Sheng, Y. H.
2
2016
Poisson-Nijenhuis structures on oriented 3D-manifolds. Zbl 1161.53074
Chen, Bo; Sheng, Yunhe
2
2008
String principal bundles and Courant algebroids. Zbl 1470.58019
Sheng, Yunhe; Xu, Xiaomeng; Zhu, Chenchang
2
2021
The first Pontryagin class of a quadratic Lie 2-algebroid. Zbl 1397.22003
Sheng, Yunhe
2
2018
Quadratic deformations of Lie-Poisson structures. Zbl 1181.53074
Lin, Qian; Liu, Zhangju; Sheng, Yunhe
2
2008
Homotopy Rota-Baxter operators and post-Lie algebras. Zbl 1519.17023
Tang, Rong; Bai, Chengming; Guo, Li; Sheng, Yunhe
2
2023
Cohomologies of Reynolds operators on \(n\)-Lie algebras. Zbl 1526.17006
Hou, Shuai; Sheng, Yunhe
2
2023
Linearization of the higher analogue of Courant algebroids. Zbl 1482.53105
Lang, Honglei; Sheng, Yunhe
2
2020
3-post-Lie algebras and relative Rota-Baxter operators of nonzero weight on 3-Lie algebras. Zbl 1517.17005
Hou, Shuai; Sheng, Yunhe; Zhou, Yanqiu
2
2023
Lie theory and cohomology of relative Rota-Baxter operators. Zbl 07811234
Jiang, Jun; Sheng, Yunhe; Zhu, Chenchang
2
2024
Manin triples of 3-Lie algebras induced by involutive derivations. Zbl 1459.17007
Hou, Shuai; Bai, Ruipu; Sheng, Yunhe
1
2020
Nonabelian embedding tensors. Zbl 1518.17003
Tang, Rong; Sheng, Yunhe
1
2023
Cohomology and homotopy of Lie triple systems. Zbl 07870883
Xia, Haobo; Sheng, Yunhe; Tang, Rong
1
2024
Deformations, cohomologies and abelian extensions of compatible 3-Lie algebras. Zbl 07873693
Hou, Shuai; Sheng, Yunhe; Zhou, Yanqiu
1
2024
Coherent categorical structures for Lie bialgebras, Manin triples, classical \(r\)-matrices and pre-Lie algebras. Zbl 1500.17021
Bai, Chengming; Guo, Li; Sheng, Yunhe
1
2022
Omni-representations of Leibniz algebras. Zbl 07812205
Liu, Zhangju; Sheng, Yunhe
1
2024
Homotopy relative Rota-Baxter Lie algebras, triangular \(L_\infty \)-bialgebras and higher derived brackets. Zbl 1516.17020
Lazarev, Andrey; Sheng, Yunhe; Tang, Rong
1
2023
A survey on deformations, cohomologies and homotopies of relative Rota-Baxter Lie algebras. Zbl 1523.17037
Sheng, Yunhe
1
2022
Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation. Zbl 1535.22061
Bai, Chengming; Guo, Li; Sheng, Yunhe; Tang, Rong
3
2024
Lie theory and cohomology of relative Rota-Baxter operators. Zbl 07811234
Jiang, Jun; Sheng, Yunhe; Zhu, Chenchang
2
2024
Cohomology and homotopy of Lie triple systems. Zbl 07870883
Xia, Haobo; Sheng, Yunhe; Tang, Rong
1
2024
Deformations, cohomologies and abelian extensions of compatible 3-Lie algebras. Zbl 07873693
Hou, Shuai; Sheng, Yunhe; Zhou, Yanqiu
1
2024
Omni-representations of Leibniz algebras. Zbl 07812205
Liu, Zhangju; Sheng, Yunhe
1
2024
Maurer-Cartan characterizations and cohomologies of compatible Lie algebras. Zbl 1528.17016
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming
6
2023
Factorizable Lie bialgebras, quadratic Rota-Baxter Lie algebras and Rota-Baxter Lie bialgebras. Zbl 1529.17027
Lang, Honglei; Sheng, Yunhe
5
2023
Actions of monoidal categories and representations of Cartan type Lie algebras. Zbl 1521.17014
Pei, Yufeng; Sheng, Yunhe; Tang, Rong; Zhao, Kaiming
4
2023
Deformations, cohomologies and integrations of relative difference Lie algebras. Zbl 1519.17027
Jiang, Jun; Sheng, Yunhe
3
2023
Homotopy Rota-Baxter operators and post-Lie algebras. Zbl 1519.17023
Tang, Rong; Bai, Chengming; Guo, Li; Sheng, Yunhe
2
2023
Cohomologies of Reynolds operators on \(n\)-Lie algebras. Zbl 1526.17006
Hou, Shuai; Sheng, Yunhe
2
2023
3-post-Lie algebras and relative Rota-Baxter operators of nonzero weight on 3-Lie algebras. Zbl 1517.17005
Hou, Shuai; Sheng, Yunhe; Zhou, Yanqiu
2
2023
Nonabelian embedding tensors. Zbl 1518.17003
Tang, Rong; Sheng, Yunhe
1
2023
Homotopy relative Rota-Baxter Lie algebras, triangular \(L_\infty \)-bialgebras and higher derived brackets. Zbl 1516.17020
Lazarev, Andrey; Sheng, Yunhe; Tang, Rong
1
2023
Representations and cohomologies of relative Rota-Baxter Lie algebras and applications. Zbl 1500.17016
Jiang, Jun; Sheng, Yunhe
13
2022
Leibniz bialgebras, relative Rota-Baxter operators, and the classical Leibniz Yang-Baxter equation. Zbl 1518.17004
Tang, Rong; Sheng, Yunhe
13
2022
Relative Rota-Baxter operators and symplectic structures on Lie-Yamaguti algebras. Zbl 1512.17003
Sheng, Yunhe; Zhao, Jia
5
2022
Cohomologies, extensions and deformations of differential algebras of arbitrary weight. Zbl 1517.16007
Guo, Li; Li, Yunnan; Sheng, Yunhe; Zhou, Guodong
3
2022
Coherent categorical structures for Lie bialgebras, Manin triples, classical \(r\)-matrices and pre-Lie algebras. Zbl 1500.17021
Bai, Chengming; Guo, Li; Sheng, Yunhe
1
2022
A survey on deformations, cohomologies and homotopies of relative Rota-Baxter Lie algebras. Zbl 1523.17037
Sheng, Yunhe
1
2022
Deformations and homotopy theory of relative Rota-Baxter Lie algebras. Zbl 1476.17010
Lazarev, Andrey; Sheng, Yunhe; Tang, Rong
30
2021
Integration and geometrization of Rota-Baxter Lie algebras. Zbl 1468.17026
Guo, Li; Lang, Honglei; Sheng, Yunhe
28
2021
Lie 3-algebras and deformations of relative Rota-Baxter operators on 3-Lie algebras. Zbl 1464.17008
Tang, Rong; Hou, Shuai; Sheng, Yunhe
14
2021
The controlling \(L_\infty \)-algebra, cohomology and homotopy of embedding tensors and Lie-Leibniz triples. Zbl 1476.17015
Sheng, Yunhe; Tang, Rong; Zhu, Chenchang
10
2021
Twilled 3-Lie algebras, generalized matched pairs of 3-Lie algebras and \(\mathcal{O}\)-operators. Zbl 1475.17007
Hou, Shuai; Sheng, Yunhe; Tang, Rong
5
2021
Nijenhuis operators, product structures and complex structures on Lie-Yamaguti algebras. Zbl 1482.17048
Sheng, Yunhe; Zhao, Jia; Zhou, Yanqiu
5
2021
Generalized Reynolds operators on 3-Lie algebras and NS-3-Lie algebras. Zbl 07838304
Hou, Shuai; Sheng, Yunhe
5
2021
String principal bundles and Courant algebroids. Zbl 1470.58019
Sheng, Yunhe; Xu, Xiaomeng; Zhu, Chenchang
2
2021
Deformations of relative Rota-Baxter operators on Leibniz algebras. Zbl 07807363
Tang, Rong; Sheng, Yunhe; Zhou, Yanqiu
13
2020
\(F\)-manifold algebras and deformation quantization via pre-Lie algebras. Zbl 1442.17003
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming
10
2020
Hom-Lie algebras and Hom-Lie groups, integration and differentiation. Zbl 1498.17031
Jiang, Jun; Mishra, Satyendra Kumar; Sheng, Yunhe
10
2020
Noncommutative Poisson bialgebras. Zbl 1475.17038
Liu, Jiefeng; Bai, Chengming; Sheng, Yunhe
9
2020
Review of deformation theory I: concrete formulas for deformations of algebraic structures. Zbl 1463.16046
Guan, Ai; Andrey, Lazarev; Sheng, Yunhe; Tang, Rong
8
2020
Review of deformation theory II: a homotopical approach. Zbl 1463.18001
Guan, Ai; Andrey, Lazarev; Sheng, Yunhe; Tang, Rong
6
2020
Koszul-Vinberg structures and compatible structures on left-symmetric algebroids. Zbl 07816632
Wang, Qi; Liu, Jiefeng; Sheng, Yunhe
4
2020
Linearization of the higher analogue of Courant algebroids. Zbl 1482.53105
Lang, Honglei; Sheng, Yunhe
2
2020
Manin triples of 3-Lie algebras induced by involutive derivations. Zbl 1459.17007
Hou, Shuai; Bai, Ruipu; Sheng, Yunhe
1
2020
Deformations and their controlling cohomologies of \(\mathcal{O}\)-operators. Zbl 1440.17015
Tang, Rong; Bai, Chengming; Guo, Li; Sheng, Yunhe
47
2019
Bialgebras, the classical Yang-Baxter equation and Manin triples for 3-Lie algebras. Zbl 1479.17008
Bai, Chengming; Guo, Li; Sheng, Yunhe
28
2019
Cohomologies of a Lie algebra with a derivation and applications. Zbl 1455.17020
Tang, Rong; Frégier, Yaël; Sheng, Yunhe
21
2019
Nijenhuis operators on pre-Lie algebras. Zbl 1439.17023
Wang, Qi; Sheng, Yunhe; Bai, Chengming; Liu, Jiefeng
16
2019
Compatible \(\mathcal{O}\)-operators on bimodules over associative algebras. Zbl 1420.13035
Liu, Jiefeng; Bai, Chengming; Sheng, Yunhe
14
2019
Categorification of pre-Lie algebras and solutions of 2-graded classical Yang-Baxter equations. Zbl 1408.17009
Sheng, Yunhe
10
2019
QP-structures of degree 3 and \(\mathsf{CLWX}\) 2-algebroids. Zbl 1435.53061
Liu, Jiefeng; Sheng, Yunhe
6
2019
Cohomological characterizations of non-abelian extensions of strict Lie 2-algebras. Zbl 1462.17033
Tang, Rong; Sheng, Yunhe
6
2019
Purely Hom-Lie bialgebras. Zbl 1398.16032
Cai, Liqiang; Sheng, Yunhe
18
2018
Symplectic, product and complex structures on 3-Lie algebras. Zbl 1433.17005
Sheng, Yunhe; Tang, Rong
14
2018
On non-abelian extensions of Leibniz algebras. Zbl 1427.17044
Liu, Jiefeng; Sheng, Yunhe; Wang, Qi
13
2018
Pre-symplectic algebroids and their applications. Zbl 1390.17029
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming
8
2018
Kupershmidt-(dual-)Nijenhuis structures on a Lie algebra with a representation. Zbl 1398.17010
Hu, Yuwang; Liu, Jiefeng; Sheng, Yunhe
8
2018
Left-symmetric bialgebroids and their corresponding Manin triples. Zbl 1431.53089
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming
7
2018
\(\mathsf{VB}\)-Courant algebroids, \(\mathsf{E}\)-Courant algebroids and generalized geometry. Zbl 1400.53071
Lang, Honglei; Sheng, Yunhe; Wade, Aïssa
3
2018
The first Pontryagin class of a quadratic Lie 2-algebroid. Zbl 1397.22003
Sheng, Yunhe
2
2018
Higher extensions of Lie algebroids. Zbl 1419.58015
Sheng, Yunhe; Zhu, Chenchang
25
2017
Hom-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroids. Zbl 1420.17022
Cai, Liqiang; Liu, Jiefeng; Sheng, Yunhe
17
2017
A new approach to representations of 3-Lie algebras and abelian extensions. Zbl 1430.17011
Liu, Jiefeng; Makhlouf, Abdenacer; Sheng, Yunhe
12
2017
Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids. Zbl 1366.53064
Lang, Honglei; Sheng, Yunhe; Xu, Xiaomeng
6
2017
Omni \(n\)-Lie algebras and linearization of higher analogues of Courant algebroids. Zbl 1375.53100
Liu, Jiefeng; Sheng, Yunhe; Wang, Chunyue
3
2017
3-Lie\(_\infty\)-algebras and 3-Lie 2-algebras. Zbl 1419.17038
Zhou, Yanqiu; Li, Yumeng; Sheng, Yunhe
3
2017
Nijenhuis operators on \(n\)-Lie algebras. Zbl 1345.17006
Liu, Jie-Feng; Sheng, Yun-He; Zhou, Yan-Qiu; Bai, Cheng-Ming
22
2016
Left-symmetric algebroids. Zbl 1354.18003
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming; Chen, Zhiqi
14
2016
Hom-big brackets: theory and applications. Zbl 1332.17025
Cai, Liqiang; Sheng, Yunhe
10
2016
From Leibniz algebras to Lie 2-algebras. Zbl 1378.17007
Sheng, Yunhe; Liu, Zhangju
6
2016
The Pontryagin class for pre-Courant algebroids. Zbl 1401.17015
Liu, Zhangju; Sheng, Yunhe; Xu, Xiaomeng
5
2016
Nonabelian omni-Lie algebras. Zbl 1415.17020
Lang, Honglei; Sheng, Yunhe; Xu, Xiaomeng
3
2016
Integration of derivations for Lie 2-algebras. Zbl 1387.17031
Lang, H. L.; Liu, Z. J.; Sheng, Y. H.
2
2016
On Hom-Lie algebras. Zbl 1352.17031
Sheng, Yunhe; Xiong, Zhen
22
2015
Dirac structures for higher analogues of Courant algebroids. Zbl 1312.53104
Bi, Yanhui; Sheng, Yunhe
4
2015
A new approach to hom-Lie bialgebras. Zbl 1345.17002
Sheng, Yunhe; Bai, Chengming
54
2014
Deformations of Lie 2-algebras. Zbl 1362.17032
Liu, Zhangju; Sheng, Yunhe; Zhang, Tao
9
2014
On double vector bundles. Zbl 1318.58001
Chen, Zhuo; Liu, Zhang Ju; Sheng, Yun He
9
2014
Hom-Lie 2-algebras. Zbl 1281.17034
Sheng, Yunhe; Chen, Danhua
56
2013
Leibniz 2-algebras and twisted Courant algebroids. Zbl 1337.17006
Sheng, Yunhe; Liu, Zhangju
20
2013
Lie 2-bialgebras. Zbl 1308.17026
Bai, Chengming; Sheng, Yunhe; Zhu, Chenchang
13
2013
Representations of hom-Lie algebras. Zbl 1294.17001
Sheng, Yunhe
150
2012
Integration of semidirect product Lie 2-algebras. Zbl 1277.17012
Sheng, Yunhe; Zhu, Chenchang
17
2012
Integration of Lie 2-algebras and their morphisms. Zbl 1335.17008
Sheng, Yunhe; Zhu, Chenchang
15
2012
Non-abelian extensions of Lie 2-algebras. Zbl 1280.17026
Chen, Shaohan; Sheng, Yunhe; Zheng, Zhujun
13
2012
On deformations of Lie algebroids. Zbl 1318.53094
Sheng, Yunhe
7
2012
On higher analogues of Courant algebroids. Zbl 1248.53067
Bi, Yanhui; Sheng, Yunhe
20
2011
Semidirect products of representations up to homotopy. Zbl 1267.17019
Sheng, Yunhe; Zhu, Chenchang
16
2011
Omni-Lie 2-algebras and their Dirac structures. Zbl 1242.17026
Sheng, Yunhe; Liu, Zhangju; Zhu, Chenchang
12
2011
Dirac structures of omni-Lie algebroids. Zbl 1263.53074
Chen, Zhuo; Liu, Zhang Ju; Sheng, Yunhe
12
2011
E-Courant algebroids. Zbl 1211.53096
Chen, Zhuo; Liu, Zhangju; Sheng, Yunhe
16
2010
Jacobi quasi-Nijenhuis algebroids. Zbl 1213.53101
Sheng, Yunhe
4
2010
Poisson-Nijenhuis structures on oriented 3D-manifolds. Zbl 1161.53074
Chen, Bo; Sheng, Yunhe
2
2008
Quadratic deformations of Lie-Poisson structures. Zbl 1181.53074
Lin, Qian; Liu, Zhangju; Sheng, Yunhe
2
2008
Linear Poisson structures on \(\mathbb R^4\). Zbl 1131.53045
Sheng, Yunhe
7
2007
all cited Publications top 5 cited Publications
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Cited by 453 Authors

80 Sheng, Yunhe
26 Makhlouf, Abdenacer
24 Chen, Liangyun
24 Liu, Jiefeng
22 Tang, Rong
21 Silvestrov, Sergei D.
19 Das, Apurba
18 Guo, Li
15 Bai, Chengming
15 Liu, Zhangju
14 Mabrouk, Sami
14 Peyghan, Esmaeil
13 Song, Lina
12 Ma, Yao
12 Mishra, Satyendra Kumar
11 Sun, Qinxiu
10 Casas Miras, José Manuel
10 Nourmohammadifar, Leila
9 Gao, Xing
9 Lang, Honglei
9 Zhu, Chenchang
8 Chtioui, Taoufik
8 Hou, Shuai
8 Yuan, Lamei
7 Ma, Tianshui
7 Saadaoui, Nejib
7 Zhang, Tao
6 Bi, Yanhui
6 Jiang, Jun
6 Zhou, Yanqiu
5 Armakan, Abdoreza R.
5 Ben Hassine, Abdelkader
5 Grabowski, Janusz
5 Guo, Shuangjian
5 Jurčo, Branislav
5 Laurent-Gengoux, Camille
5 Liu, Shanshan
5 Liu, Wende
5 Mandal, Ashis
5 Nunes da Costa, Joana Margarida M.
5 Wang, Chunyue
5 Wang, Shengxiang
4 Bagheri, Zahra
4 Chen, Zhiqi
4 Chen, Zhuo
4 Doğan, Keremcan
4 García-Martínez, Xabier
4 Kaygorodov, Ivan
4 Khmaladze, Emzar
4 Laraiedh, Ismail
4 Pacheco Rego, Natália
4 Saha, Ripan
4 Sun, Bing
4 Teng, Wen
4 Wang, You
4 Zhang, Huhu
4 Zhang, Qingcheng
4 Zhang, Xiaohui
4 Zheng, Shanghua
4 Zhou, Guodong
3 Ammar, Faouzi Ben
3 Angulo Santacruz, Camilo Andres
3 Attan, Sylvain
3 Bakayoko, Ibrahima
3 Bardakov, Valeriĭ Georgievich
3 Cai, Liqiang
3 Calderón Martín, Antonio Jesús
3 Caseiro, Raquel
3 Chatzistavrakidis, Athanasios
3 Chen, Shan
3 Dereli, Tekin
3 Farhangdoost, Mohammad Reza
3 Hou, Bo
3 Ikeda, Noriaki
3 Issa, A. Nourou
3 Jin, Jiulin
3 Jotz Lean, Madeleine
3 Kitouni, Abdennour
3 Lazarev, Andrey
3 Li, Yizheng
3 Li, Yunnan
3 Ma, Lili
3 Mancini, Manuel
3 Merati, S.
3 Panaite, Florin
3 Sämann, Christian
3 Strobl, Thomas
3 Vitagliano, Luca
3 Wang, Dingguo
3 Wang, Qi
3 Xu, Ping
3 Xu, Senrong
3 Xu, Xiaomeng
3 Yang, Haiyan
3 Zhang, Yi
3 Zhao, Jun
3 Zheng, Huihui
2 Adimi, Hadjer
2 Agrebaoui, Boujemaa
2 Asif, Sania
...and 353 more Authors
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Cited in 114 Serials

51 Communications in Algebra
49 Journal of Geometry and Physics
33 Journal of Algebra
19 Journal of Algebra and its Applications
17 Journal of Mathematical Physics
12 International Journal of Geometric Methods in Modern Physics
11 Communications in Mathematical Physics
10 Linear and Multilinear Algebra
8 Advances in Applied Clifford Algebras
8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
7 Letters in Mathematical Physics
7 Journal of Lie Theory
7 Journal of High Energy Physics
6 Czechoslovak Mathematical Journal
6 Turkish Journal of Mathematics
6 Algebras and Representation Theory
6 Advances in Mathematical Physics
6 Journal of Mathematical Research with Applications
5 Journal of Pure and Applied Algebra
5 Applied Categorical Structures
5 Acta Mathematica Sinica. English Series
5 Frontiers of Mathematics in China
5 Science China. Mathematics
4 Advances in Mathematics
4 Colloquium Mathematicum
4 International Journal of Mathematics
4 Differential Geometry and its Applications
4 Theory and Applications of Categories
4 Communications in Contemporary Mathematics
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Hacettepe Journal of Mathematics and Statistics
4 Mediterranean Journal of Mathematics
4 Journal of Noncommutative Geometry
4 Journal of Homotopy and Related Structures
4 Journal of Geometric Mechanics
4 Communications in Mathematics
4 Electronic Research Archive
3 Reports on Mathematical Physics
3 Glasgow Mathematical Journal
3 Pacific Journal of Mathematics
3 Results in Mathematics
3 Forum Mathematicum
3 Acta et Commentationes Universitatis Tartuensis de Mathematica
3 Asian-European Journal of Mathematics
3 Afrika Matematika
3 Open Mathematics
2 Ukrainian Mathematical Journal
2 International Journal of Mathematics and Mathematical Sciences
2 Mathematische Nachrichten
2 Quaestiones Mathematicae
2 Transactions of the American Mathematical Society
2 Chinese Annals of Mathematics. Series B
2 International Journal of Algebra and Computation
2 Linear Algebra and its Applications
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Georgian Mathematical Journal
2 Transformation Groups
2 Mathematical Physics, Analysis and Geometry
2 Journal of Nonlinear Mathematical Physics
2 JP Journal of Algebra, Number Theory and Applications
2 São Paulo Journal of Mathematical Sciences
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Rocky Mountain Journal of Mathematics
1 Theoretical and Mathematical Physics
1 Reviews in Mathematical Physics
1 Fortschritte der Physik
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Bulletin of the London Mathematical Society
1 Compositio Mathematica
1 Geometriae Dedicata
1 Journal of Differential Geometry
1 Journal of Functional Analysis
1 Journal of the Korean Mathematical Society
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Revista de la Unión Matemática Argentina
1 Tsukuba Journal of Mathematics
1 Topology and its Applications
1 Annals of Global Analysis and Geometry
1 Advances in Mathematics (Beijing)
1 Bulletin of the Iranian Mathematical Society
1 Order
1 Journal of Symbolic Computation
1 Extracta Mathematicae
1 Journal of Algebraic Combinatorics
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 The New York Journal of Mathematics
1 Sbornik: Mathematics
1 Documenta Mathematica
1 Journal of Mathematical Chemistry
1 Vietnam Journal of Mathematics
1 Abstract and Applied Analysis
1 Journal of Inequalities and Applications
1 Communications of the Korean Mathematical Society
1 Annales Henri Poincaré
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Algebra and Discrete Mathematics
...and 14 more Serials
all top 5

Cited in 28 Fields

387 Nonassociative rings and algebras (17-XX)
114 Differential geometry (53-XX)
104 Associative rings and algebras (16-XX)
59 Category theory; homological algebra (18-XX)
38 Global analysis, analysis on manifolds (58-XX)
22 Quantum theory (81-XX)
20 Topological groups, Lie groups (22-XX)
20 Algebraic topology (55-XX)
14 Group theory and generalizations (20-XX)
13 Commutative algebra (13-XX)
9 Field theory and polynomials (12-XX)
7 Combinatorics (05-XX)
6 Algebraic geometry (14-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Manifolds and cell complexes (57-XX)
5 Relativity and gravitational theory (83-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Mechanics of particles and systems (70-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Special functions (33-XX)
2 Ordinary differential equations (34-XX)
2 Functional analysis (46-XX)
2 Numerical analysis (65-XX)
1 General and overarching topics; collections (00-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 \(K\)-theory (19-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)

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