Extensions of Skew Braces

Abstract: Skew braces are important algebraic structures arising from non-degenerate set-theoretic solutions of the Yang–Baxter equation. In this talk, we discuss extensions of skew braces and their connection with the second cohomology group. We will also see how an action of a skew brace on an abelian group naturally induces a representation of the skew brace. Furthermore, we explore split extensions of skew braces and their relation to the splitting of group extensions.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar