Mathematics Colloquium

Thorsten Heidersdorf

(Ohio State University)

"Representations of the General Linear and Orthosymplectic Supergroups"

Date: Mon, September 19, 2016
Time: 17:15
Place: Research II Lecture Hall

Abstract: The finite-dimensional representations of semisimple Lie algebras over the complex numbers are well understood since the pioneering works of Schur, Weyl and others. Among those results are formulas for the dimensions of irreducible representations and recipes how to decompose tensor products of representations into a direct sum of irreducible ones. Generalizing these results to the 'super' world of representations of Lie superalgebras and algebraic supergroups is very difficult. I will give a survey of some recent results about the finite-dimensional representations of the General Linear Supergroup \(\text{Gl}(m|n)\) and the Orthosymplectic Supergroup \(\text{OSp}(m|n)\).

The colloquium is preceded by tea from 16:45 in the Resnikoff Mathematics Common Room, Research I, 127.