Found 82 Documents (Results 1–82)
Twisted Araki-Woods algebras, the Yang-Baxter equation, and quantum field theory. (English) Zbl 07919705
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XL, workshop, Białowieża, Poland, June 20–25, 2023. Cham: Birkhäuser. Trends Math., 127-144 (2024).
A Jordan-Hölder theorem for skew left braces and their applications to multipermutation solutions of the Yang-Baxter equation. (English) Zbl 07850893
Schur covers of skew braces. (English) Zbl 07804819
Near braces and \(p\)-deformed braided groups. (English) Zbl 07798501
Reviewer: Paola Stefanelli (Lecce)
Primes in coverings of indecomposable involutive set-theoretic solutions to the Yang-Baxter equation. (English) Zbl 07789451
Reviewer: Marzia Mazzotta (Lecce)
Mini-workshop: Skew braces and the Yang-Baxter equation. Abstracts from the mini-workshop held February 26 – March 4, 2023. (English) Zbl 1525.00013
A characterization of finite simple set-theoretic solutions of the Yang-Baxter equation. (English) Zbl 1536.16032
Reviewer: Oleksandr Tsymbaliuk (West Lafayette)
Module braces: relations between the additive and the multiplicative groups. (English) Zbl 1532.16029
Reviewer: Cindy Tsang (Tōkyō)
Nilpotency of skew braces and multipermutation solutions of the Yang-Baxter equation. (English) Zbl 1533.16063
Reviewer: Ramón González Rodríguez (Vigo)
Indecomposable solutions of the Yang-Baxter equation with permutation group of sizes \(pq\) and \(p^2 q\). (English) Zbl 1528.16033
Reviewer: Lorenzo Stefanello (Pisa)
On Yang-Baxter groups. (English) Zbl 1515.81157
Symmetric skew braces and brace systems. (English) Zbl 1526.16031
Reviewer: Marzia Mazzotta (Lecce)
Semi-affine structures on groups and semi-braces. (English) Zbl 1523.16044
Reviewer: Marzia Mazzotta (Lecce)
Indecomposable involutive solutions of the Yang-Baxter equation of multipermutation level 2 with non-abelian permutation group. (English) Zbl 1525.16032
Reviewer: Nenad Manojlović (Faro)
Rota-Baxter operators on Clifford semigroups and the Yang-Baxter equation. (English) Zbl 1517.17015
Reviewer: Hirokazu Nishimura (Tsukuba)
On bi-skew braces and brace blocks. (English) Zbl 1519.16028
Reviewer: Marzia Mazzotta (Lecce)
Some group-theoretical approaches to skew left braces. (English) Zbl 1527.16034
Reviewer: Thomas Weber (Bologna)
Braces whose additive group has a cyclic maximal subgroup. (English) Zbl 1515.81159
Front. Math. China 17, No. 6, 1051-1061 (2022); translation from Adv. Math., Beijing 50, No. 6, 907-916 (2021).
Classification of non-degenerate involutive set-theoretic solutions to the Yang-Baxter equation with multipermutation level two. (English) Zbl 1513.81087
Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and dynamical extensions of \(q\)-cycle sets. (English) Zbl 1507.16038
Reviewer: Leandro Vendramin (Buenos Aires)
Nilpotency in left semi-braces. (English) Zbl 1498.16042
Reviewer: Marzia Mazzotta (Lecce)
Enumeration of set-theoretic solutions to the Yang-Baxter equation. (English) Zbl 1504.16058
Reviewer: Kenny De Commer (Bruxelles)
Almost simple braces and primitive solutions to the Yang-Baxter equation. (English) Zbl 07503705
Reviewer: Agata Pilitowska (Warszawa)
Simplicity of indecomposable set-theoretic solutions of the Yang-Baxter equation. (English) Zbl 1533.16062
Reviewer: Oleksandr Tsymbaliuk (West Lafayette)
Uniconnected solutions to the Yang-Baxter equation arising from self-maps of groups. (English) Zbl 1487.81111
Some braces of cardinality \(p^4\) and related Hopf-Galois extensions. (English) Zbl 1495.16032
Reviewer: Cindy Tsang (Tokyo)
On \(\lambda \)-homomorphic skew braces. (English) Zbl 1489.16037
Reviewer: Leandro Vendramin (Buenos Aires)
Degenerate involutive set-theoretic solutions to the Yang-Baxter equation. (English) Zbl 1523.16043
Reviewer: Leandro Vendramin (Buenos Aires)
Braces whose additive group has a cyclic maximal subgroup. (Chinese. English summary) Zbl 1513.81086
Set-theoretic solutions to the Yang-Baxter equation and generalized semi-braces. (English) Zbl 1500.16036
Reviewer: J. N. Alonso Alvarez (Vigo)
Indecomposable involutive set-theoretic solutions of the Yang-Baxter equation and orthogonal dynamical extensions of cycle sets. (English) Zbl 1490.16081
Reviewer: Agata Pilitowska (Warszawa)
Braces of order \(p^2 q\). (English) Zbl 1486.16040
Reviewer: Marzia Mazzotta (Lecce)
A combinatorial approach to noninvolutive set-theoretic solutions of the Yang-Baxter equation. (English) Zbl 1491.16035
Inverse semi-braces and the Yang-Baxter equation. (English) Zbl 1476.16035
Reviewer: Kenny De Commer (Brussels)
Set-theoretic solutions of the Yang-Baxter equation, associated quadratic algebras and the minimality condition. (English) Zbl 1466.16034
Reviewer: Cristian Vay (Córdoba)
The wreath product of semiprime skew braces is semiprime. (English) Zbl 1466.16036
Reviewer: J. N. Alonso Alvarez (Vigo)
Set-theoretic solutions of the pentagon equation. (English) Zbl 1482.16059
Reviewer: Agata Pilitowska (Warszawa)
An associative left brace is a ring. (English) Zbl 1467.16037
Reviewer: Agata Pilitowska (Warszawa)
One-generator braces and indecomposable set-theoretic solutions to the Yang-Baxter equation. (English) Zbl 1473.17091
Reviewer: Cindy Tsang (Tokyo)
Classification of the affine structures of a generalized quaternion group of order \(\geqslant 32\). (English) Zbl 1485.20066
Classification of indecomposable involutive set-theoretic solutions to the Yang-Baxter equation. (English) Zbl 1446.16041
Reviewer: Andrea Caranti (Trento)
The matched product of the solutions to the Yang-Baxter equation of finite order. (English) Zbl 1439.16035
Affine structures of decomposable solvable groups. (English) Zbl 1473.17090
Reviewer: Cindy Tsang (Tokyo)
L-algebras with duality and the structure group of a set-theoretic solution to the Yang-Baxter equation. (English) Zbl 1437.16029
Reviewer: Eric Jespers (Brüssel)
The matched product of set-theoretical solutions of the Yang-Baxter equation. (English) Zbl 1435.16008
Reviewer: Andrea Caranti (Trento)
Factorizations of skew braces. (English) Zbl 1446.16040
Reviewer: Daniel Simson (Toruń)
Dynamical extensions of quasi-linear left cycle sets and the Yang-Baxter Equation. (English) Zbl 1422.16035
Set-theoretic solutions to the Yang-Baxter equation, skew-braces, and related near-rings. (English) Zbl 1429.16024
Reviewer: J. N. Alonso Alvarez (Vigo)
Skew left braces of nilpotent type. (English) Zbl 1432.16031
Reviewer: Daniel Simson (Toruń)
Construction of finite braces. (English) Zbl 1458.20025
A covering theory for non-involutive set-theoretic solutions to the Yang-Baxter equation. (English) Zbl 1450.16024
Reviewer: J. N. Alonso Alvarez (Vigo)
Set-theoretic solutions of the Yang-Baxter equation, braces and symmetric groups. (English) Zbl 1437.16028
Reviewer: Wolfgang Rump (Stuttgart)
Von Neumann algebras, \(L\)-algebras, Baer*-monoids, and Garside groups. (English) Zbl 1443.06005
Reviewer: Mirko Navara (Praha)
Semi-braces and the Yang-Baxter equation. (English) Zbl 1385.16035
Reviewer: Stefaan Caenepeel (Brussels)
Skew braces and the Yang-Baxter equation. (English) Zbl 1371.16037
Reviewer: J. N. Alonso Alvarez (Vigo)
Quasi-linear cycle sets and the retraction problem for set-theoretic solutions of the quantum Yang-Baxter equation. (English) Zbl 1335.81095
Counterexample to a conjecture about braces. (English) Zbl 1338.16022
Reviewer: Wolfgang Rump (Stuttgart)
Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova. (English) Zbl 1337.16028
Reviewer: Wolfgang Rump (Stuttgart)
On regular subgroups of the affine group. (English) Zbl 1314.20001
Reviewer: Wolfgang Rump (Stuttgart)
Coxeter-like groups for set-theoretic solutions of the Yang-Baxter equation. (Analogues des groupes de Coxeter pour les solutions ensemblistes de l’équation de Yang-Baxter.) (English. Abridged French version) Zbl 1286.20042
Reviewer: Wolfgang Rump (Stuttgart)
Quantum spaces associated to multipermutation solutions of level two. (English) Zbl 1241.81106
Reviewer: Gastón Andrés García (Córdoba)
Involutive Yang-Baxter groups. (English) Zbl 1188.81115
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