Combinatorics and Algebra Seminar-Grothendieck rings of towers of generalized Weyl algebras

Title: Grothendieck rings of towers of generalized Weyl algebras
Speaker: Daniele Rosso, Indiana University Northwest
Date and time: Wednesday 4/3, 4–5pm
Place: Rome 205

Abstract: Generalized Weyl algebras (GWAs) are an important class of algebras that include as special cases many algebras that are interesting for ring theory and representation theory. Even though they are not naturally Hopf algebras, the tensor product of a weight module for a GWA with a weight module for another GWA gives a weight module over a third GWA. As a consequence we get a ring structure on the sum of Grothendieck groups of the categories of weight modules over a tower of GWAs. I will talk about some results on describing this ring structure in various settings. This is joint work with J. T. Hartwig (Iowa State University).