Algebra and Combinatorics Seminar

Date: October 30, 2020

Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Tekin Karadag, Texas A&M

Title: Gerstenhaber bracket on Hopf algebra cohomology of a Taft algebra

Abstract: We calculate the Gerstenhaber bracket on Hopf algebra and Hochschild cohomologies of the Taft algebra T_p for any integer p>2 which is a nonquasi-triangular Hopf algebra. We show that the bracket is indeed zero on Hopf algebra cohomology of T_p, as in all known quasi-triangular Hopf algebras. This example is the first known bracket computation for a nonquasi-triangular algebra.