Schur covers of skew braces

DOI10.1016/j.jalgebra.2024.01.021arXiv2302.03970OpenAlexW4391256427WikidataQ129276403 ScholiaQ129276403MaRDI QIDQ6153586

Unnamed Author, Leandro Vendramin

Publication date: 14 February 2024

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.03970

zbMATH Keywords

cohomologyrepresentationsSchur multiplierprojective representationYang-Baxterskew braceSchur cover

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Yang-Baxter equations (16T25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cohomology and extensions of braces
• Homology of left non-degenerate set-theoretic solutions to the Yang-Baxter equation
• Group extensions, representations, and the Schur multiplicator
• Braces, radical rings, and the quatum Yang-Baxter equation.
• Classification of cyclic braces.
• Semigroups of \(I\)-type
• On the set-theoretical Yang-Baxter equation
• Extensions, matched products, and simple braces
• Set-theoretic solutions of the Yang-Baxter equation, braces and symmetric groups
• Set-theoretical solutions to the quantum Yang-Baxter equation
• Triply factorised groups and the structure of skew left braces
• Factorizations of skew braces
• Classification of braces of order \(p^3\)
• On skew braces (with an appendix by N. Byott and L. Vendramin)
• Braces and the Yang-Baxter equation
• Matched pairs approach to set theoretic solutions of the Yang-Baxter equation.
• Skew braces and the Yang–Baxter equation
• Involutive Yang-Baxter groups
• On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation
• Hopf Algebras and Galois Module Theory
• The construction of braided tensor categories from Hopf braces
• Skew left braces with non-trivial annihilator
• Non-unitary set-theoretical solutions to the quantum Yang-Baxter equation.
• Cohomology, extensions and automorphisms of skew braces
• Central nilpotency of skew braces
• Nilpotency of skew braces and multipermutation solutions of the Yang–Baxter equation
• Isoclinism of skew braces

This page was built for publication: Schur covers of skew braces