On left nilpotent skew braces of class 2

Abstract: In this seminar, a detailed study of left nilpotent skew braces B of class 2 will be carried out. We shall see that in the case that B is of nilpotent type, then it is centrally nilpotent; in particular, if B is of abelian type then it is right nilpotent of class 3. This opens the door to know much more about the inner structure of left nilpotent skew braces of class 2 and its associated solution of the Yang-Baxter equation. In the abelian type case, we shall delve into the description of these finitely generated braces.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar