Found 311 Documents (Results 1–100)
3-pre-Leibniz algebras, deformations and cohomologies of relative Rota-Baxter operators on 3-Leibniz algebras. (English) Zbl 07906461
Geometric flavors of quantum field theory on a Cauchy hypersurface. I: Gaussian analysis and other mathematical aspects. (English) Zbl 07904733
MSC:
53-XX
Deformations and cohomology theory of \(\Omega\)-Rota-Baxter algebras of arbitrary weight. (English) Zbl 07851972
Explorations in scalar fermion theories: \(\beta\)-functions, supersymmetry and fixed points. (English) Zbl 07837412
MSC:
81-XX
Construction of free quasi-idempotent differential Rota-Baxter algebras by Gröbner-Shirshov bases. (English) Zbl 07833349
Reviewer: Xiangui Zhao (Huizhou)
Post-Hopf algebras, relative Rota-Baxter operators and solutions to the Yang-Baxter equation. (English) Zbl 07828328
\(L_\infty\)-structures and cohomology theory of compatible \(\mathcal{O}\)-operators and compatible dendriform algebras. (English) Zbl 1535.17020
Quasi-triangular pre-Lie bialgebras, factorizable pre-Lie bialgebras and Rota-Baxter pre-Lie algebras. (English) Zbl 07825721
Cohomology and deformations of generalized Reynolds operators on Leibniz algebras. (English) Zbl 07823195
Lie theory and cohomology of relative Rota-Baxter operators. (English) Zbl 07811234
Reviewer: Hirokazu Nishimura (Tsukuba)
Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation. (English) Zbl 1535.22061
Reviewer: Lorenzo Stefanello (Pisa)
\( \lambda \)-TD algebras, generalized shuffle products and left counital Hopf algebras. (English) Zbl 07797227
Cohomologies of relative Rota-Baxter Lie algebras with derivations and applications. (English) Zbl 07783040
Representations of the Laurent series Rota-Baxter algebras and regular-singular decompositions. (English) Zbl 1537.16022
Mini-workshop: Combinatorial and algebraic structures in rough analysis and related fields. Abstracts from the mini-workshop held November 26 – December 2, 2023. (English) Zbl 07921229
Ternary Leibniz color algebras and beyond. (English) Zbl 07916449
Hounkonnou, Mahouton Norbert (ed.) et al., Algebra without borders – classical and constructive nonassociative algebraic structures. Foundations and applications. Invited papers based on the presentations at the 1st conference, CaCNAS: FA 2021, virtual, June 30 – July 2, 2021. Cham: Springer. STEAM-H, Sci. Technol. Eng. Agric. Math. Health, 189-236 (2023).
Computing with B-series. (English) Zbl 07910028
MSC:
65-XX
Modular Nori motives. (English) Zbl 1530.14009
Reviewer: B. Z. Moroz (Bonn)
Relative Rota-Baxter Leibniz algebras, their characterization and cohomology. (English) Zbl 07776600
Post-Lie algebras in regularity structures. (English) Zbl 1540.60235
Reviewer: Loïc Foissy (Calais)
Twisting theory, relative Rota-Baxter type operators and \(L_\infty\)-algebras on Lie conformal algebras. (English) Zbl 1539.17013
From Hurwitz numbers to Feynman diagrams: counting rooted trees in log gravity. (English) Zbl 1532.81035
Operated groups, differential groups and Rota-Baxter groups with an emphasis on the free objects. (English) Zbl 1530.20100
Reviewer: Egle Bettio (Venezia)
Cohomologies and deformations of \(\mathcal{O}\)-operators on Lie triple systems. (English) Zbl 1520.17005
Sequences of trees and higher-order renormalization group equations. (English) Zbl 1520.81132
MSC:
81T17
Cohomologies of Rota-Baxter Lie triple systems and applications. (English) Zbl 1522.17025
Reviewer: Hirokazu Nishimura (Tsukuba)
Free weighted (modified) differential algebras, free (modified) Rota-Baxter algebras and Gröbner-Shirshov bases. (English) Zbl 1531.16016
Reviewer: Loïc Foissy (Calais)
Construction of free commutative Reynolds algebras by Gröbner-Shirshov bases. (English) Zbl 1532.16044
Reviewer: Xiangui Zhao (Huizhou)
Integral operators on lattices. (English) Zbl 07701685
Reviewer: T. Tamizh Chelvam (Tirunelveli)
On Rota-Baxter Lie 2-algebras. (English) Zbl 1516.17021
Reviewer: Hirokazu Nishimura (Tsukuba)
Homotopy Rota-Baxter operators and post-Lie algebras. (English) Zbl 1519.17023
Reviewer: Hirokazu Nishimura (Tsukuba)
Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms. (English) Zbl 1530.17017
Quasi-triangular and factorizable antisymmetric infinitesimal bialgebras. (English) Zbl 1529.16035
Reviewer: Ramón González Rodríguez (Vigo)
Factorizable Lie bialgebras, quadratic Rota-Baxter Lie algebras and Rota-Baxter Lie bialgebras. (English) Zbl 1529.17027
Hepp’s bound for Feynman graphs and matroids. (English) Zbl 1520.81076
Reviewer: Michael Borinsky (Zürich)
Homotopy relative Rota-Baxter Lie algebras, triangular \(L_\infty \)-bialgebras and higher derived brackets. (English) Zbl 1516.17020
Reviewer: Shanghua Zheng (Nanchang)
3-post-Lie algebras and relative Rota-Baxter operators of nonzero weight on 3-Lie algebras. (English) Zbl 1517.17005
Central extensions and Hom-quadratic Hom-Novikov color algebras. (English) Zbl 07799441
Seck, Diaraf (ed.) et al., Nonlinear analysis, geometry and applications. Proceedings of the second NLAGA-BIRS symposium, Cap Skirring, Senegal, January 25–30, 2022. Cham: Springer. Trends Math., 463-498 (2022).
Reviewer: Alexei Kanel-Belov (Ramat-Gan)
MSC:
17D30
A survey on deformations, cohomologies and homotopies of relative Rota-Baxter Lie algebras. (English) Zbl 1523.17037
Reviewer: Hirokazu Nishimura (Tsukuba)
Deterministic dynamics and randomness in PDE. Abstracts from the workshop held May 22–28, 2022. (English) Zbl 1519.00026
The \(L_\infty\)-deformations of associative Rota-Baxter algebras and homotopy Rota-Baxter operators. (English) Zbl 1508.17024
The SAGEX review on scattering amplitudes chapter 4: multi-loop Feynman integrals. (English) Zbl 1520.81133
Twisted Rota-Baxter families and NS-family algebras. (English) Zbl 1505.17011
Reviewer: Loïc Foissy (Calais)
Deformations and cohomologies of relative Rota-Baxter operators on Lie algebroids and Koszul-Vinberg structures. (English) Zbl 1498.53105
Pathlike co/bialgebras and their antipodes with applications to bi- and Hopf algebras appearing in topology, number theory and physics. (English) Zbl 1497.18031
Reviewer: Laurent Poinsot (Villetaneuse)
Braided Rota-Baxter algebras, quantum quasi-shuffle algebras and braided dendriform algebras. (English) Zbl 1505.16044
Reviewer: Loïc Foissy (Calais)
A ribbon graph derivation of the algebra of functional renormalization for random multi-matrices with multi-trace interactions. (English) Zbl 1507.81161
Hopf algebra structure on free Rota-Baxter algebras by angularly decorated rooted trees. (English) Zbl 1491.17013
Reviewer: Loïc Foissy (Calais)
Cohomology and deformations of twisted Rota-Baxter operators and NS-algebras. (English) Zbl 1496.16013
Reviewer: Angela Gammella-Mathieu (Metz)
Deformation of Kupershmidt operators and Kupershmidt-Nijenhuis structures of a Malcev algebra. (English) Zbl 1499.17020
Representations and cohomologies of relative Rota-Baxter Lie algebras and applications. (English) Zbl 1500.17016
Reviewer: Shanghua Zheng (Nanchang)
MSC:
17B38
A new approach to Rota-Baxter coalgebras. (English) Zbl 1495.16028
Reviewer: Ramón González Rodríguez (Vigo)
Rota-Baxter operators on Turaev’s Hopf group (co)algebras. I: Basic definitions and related algebraic structures. (English) Zbl 1484.17027
Reviewer: Loïc Foissy (Calais)
Iterated primitives of meromorphic quasimodular forms for \(\mathrm{SL}_2(\mathbb{Z})\). (English) Zbl 1537.11061
Reviewer: Zhengyu Mao (Newark)
Resonance-based schemes for dispersive equations via decorated trees. (English) Zbl 1504.65168
Reviewer: Michael Jung (Dresden)
On shuffle-type functional relations of desingularized multiple zeta-functions. (English) Zbl 1491.11078
Reviewer: Yoshinori Yamasaki (Matsuyama)
MSC:
11M32
Generalizing dendriform algebras: \(\mathrm{Dyck}^m\)-algebras, \(\mathrm{Rota}^m\)-algebras, and Rota-Baxter operators. (English) Zbl 07834293
Homotopical algebra and higher structures. Abstracts from the workshop held September 19–25, 2021 (hybrid meeting). (English) Zbl 1506.00042
Feynman categories and representation theory. (English) Zbl 1497.18029
Igusa, Kiyoshi (ed.) et al., Representations of algebras, geometry and physics, Maurice Auslander distinguished lectures and international conference, Woods Hole Oceanographic Institute, Woods Hole, MA, USA, April 25–30, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 769, 11-84 (2021).
Reviewer: Hirokazu Nishimura (Tsukuba)
From iterated integrals and chronological calculus to Hopf and Rota-Baxter algebras. (English) Zbl 1493.16029
Makhlouf, Abdenacer (ed.), Algebra and applications 2. Combinatorial algebra and Hopf algebras. London: ISTE; Hoboken, NJ: John Wiley & Sons. Sciences, 55-118 (2021).
Renormalization in combinatorially non-local field theories: the BPHZ momentum scheme. (English) Zbl 1480.81097
Chromatic polynomials and bialgebras of graphs. (English) Zbl 1487.16036
Reviewer: Dmitry Artamonov (Moskva)
Rota-Baxter operators on unital algebras. (English) Zbl 1492.17020
Reviewer: Loïc Foissy (Calais)
Twisted Rota-Baxter operators and Reynolds operators on Lie algebras and NS-Lie algebras. (English) Zbl 1497.17022
Comment on “The phase diagram of the multi-matrix model with ABAB-interaction from functional renormalization”. (English) Zbl 1468.83018
Commutative matching Rota-Baxter operators, shuffle products with decorations and matching Zinbiel algebras. (English) Zbl 1496.17015
Reviewer: Huafeng Zhang (Villeneuve d’Ascq)
Doubling bialgebras of finite topologies. (English) Zbl 1480.16059
Reviewer: Dmitry Artamonov (Moskva)
Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs. (English) Zbl 1470.81050
Weighted infinitesimal unitary bialgebras of rooted forests, symmetric cocycles and pre-Lie algebras. (English) Zbl 1476.16041
Reviewer: Dmitry Artamonov (Moskva)
Kupershmidt-(dual-)Nijenhuis structure on the alternative algebra with a representation. (English) Zbl 1492.16037
The incidence comodule bialgebra of the Baez-Dolan construction. (English) Zbl 1465.18014
Reviewer: Laurent Poinsot (Villetaneuse)
Deformations and homotopy theory of relative Rota-Baxter Lie algebras. (English) Zbl 1476.17010
Reviewer: Houyi Yu (Chongqing)
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