U(h)-Free sl(2)-Modules of rank 2

Abstract: In this talk, we will discuss non-weight modules over the Lie algebra sl(2). More precisely, we focus on modules that are free of finite rank over the universal enveloping algebra U(h) of a Cartan subalgebra h of sl(2). In particular, we will present a new family of simple U(h)-free modules of rank 2. The talk is based on joint work with K. Nguyen and K. Zhao.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar