Simple smooth modules

Abstract: Let L be a graded Lie algebra by integers with k-th homogenous space $L_k$ where k are integers. An L-module V is called a smooth module if any vector in V can be annihilated by $L_k$ for all sufficiently large k. Smooth modules for affine Kac-Moody algebras were introduced and studied by Kazhdan and Lusztig in 1993. I will show why this class of modules should be studied and what results are known now. An easy characterization for simple smooth modules for some Lie algebras will be provided.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar