Seminarium i Talteori och Algebraisk Geometri

Abstrakt finns enbart på engelska: Generalized Weyl Algebras (GWAs) encompass a wide range of noncommutative algebras, including the Weyl algebra, quantum groups, and certain Lie algebras. In this talk I will discuss their representation theory, with emphasis on a new class of modules obtained by lifting modules that are free over the base ring. I will discuss the classification of such objects, and in the case when R is a PID, present a combinatorial description of their composition series. The talk is based on joint work with Samuel Lopes.