Nikolaus Conference 2021

Speaker: Kevin Wolf (Marburg)

Title: Representations of Deformed Nichols Algebras


We study some methods to do representation theory on deformed Nichols algebras. We will do so on the examples of Nichols algebras known as the Fomin-Kirillov algebras. We will point out, that these algebras and their deformations all have multiple subalgebras isomorphic to Hecke algebras. We then induce representations of these Hecke algebras to representations of larger subalgebras. We find that with the exception of a few special parameter choices, these subalgebras, and therefore their module categories, are semisimple. We will also discuss the open problems of using these techniques.

Back to program