U(h)-free modules over the Lie superalgebras sl(m|n)

Abstract: In this talk I will discuss the existence and classification of certain classes of sl(m|n)-modules which when restricted to the universal enveloping algebra U(h) of a Cartan subalgebra h are free of finite rank. Particular results include: Classification of modules of rank 2; existence and structure of modules of higher rank; weight modules obtained from U(h)-free modules via the weighting functor.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar