Alladi Ramakrishnan Hall

Construction of skew braces

Manoj Yadav

Harish Chandra Research Institute, Allahabad

I am planning to present a mostly pedagogical treatment of a very recently introduced concept called skew left brace. It was invented in connection with solutions of the Yang-Baxter equation. I'll indicate this connection and show how to construct a sequence of skew left braces from a given one. To satisfy curiosity, if any, an algebraic structure (G, +, *) is said to be a skew left brace if (G, +) and (G, *) are groups and + and * speak to each other as follows: a*(b+c) = a*b -a + a*c for all a, b, c \in G.