Problems on skew left braces

By Leandro Vendramin. 2018

50 citations recorded by the source corpus.

Braces were introduced by Rump as a generalization of Jacobson radical rings. It turns out that braces allow us to use ring-theoretic and group-theoretic methods for studying involutive solutions to the Yang-Baxter equation. If braces are replaced by skew braces, then one can use similar methods for studying not necessarily involutive solutions. Here we collect problems related to (skew) braces and set-theoretic solutions to the Yang-Baxter equation.

Subfields: Biomedical Engineering

View Paper: https://www.semanticscholar.org/paper/57941318b200d9756c0f0ae38e857e78e3a95649

Citations in the corpus

• Bi-skew braces and Hopf Galois structures (2019, unknown): “As an indication of interest in the brace question, we note that at least a dozen of the 50 problems on skew braces in Vendramin’s recent manuscript, “Problems on skew left braces” [21] relate to that question.”