Pro-reductive groups attached to representations of the General Linear Supergroup Gl(m|n)
Thorsten Heidersdorf (The Ohio State University) - Oberseminar Darstellungstheorie
| What |
|
|---|---|
| When |
Nov 27, 2015 from 02:15 pm to 03:15 pm |
| Where | Bonn, Raum 1.008, Mathematik-Zentrum, Endenicher Allee 60 |
| Contact Name | Sachinidis |
| Add event to calendar |
vCal
iCal
|
The tensor category Rep(Gl(m|n)) is not semisimple and the decomposition of tensor products into the indecomposable constituents is only known in very special cases. Every nice tensor category C has a unique proper tensor ideal , the negligible morphisms, such that the quotient C/ is a semisimple tensor category. I will apply this construction to the tensor category C=Rep(Gl(m|n)). The quotient is the representation category of a pro-reductive supergroup scheme. I will show some results about this supergroup scheme and what this implies about tensor product decompositions. This is joint work with Rainer Weissauer.
