### 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.*