Graduate Seminar

Location:  CL 317 and Live stream

Speaker: Matthew Alexander

PhD Student supervised by Martin Frankland

Title:  Hopf-Frobenius Modules and the Lie Correspondence

 Zoom: https://uregina-ca.zoom.us/j/92053635111?pwd=U25NcEp6amlGV1YrRDdnUm5qNlhaUT09

Abstract:

Hopf algebras and Frobenius algebras are two kinds of associative algebras that appear naturally in algebraic topology and functional analysis. Interactions between these two kinds of algebras, in the form of Hopf-Frobenius modules, contain a rich structure, which generalizes constructions like Sobolev spaces and Haar measures on a compact group.

In this talk we introduce the notion of Hopf-Frobenius modules, and show that the Lie group-Lie algebra correspondence for the case of classical Lie groups/algebras can be produced by a particular construction on such modules.