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Pro-reductive groups attached to representations of the General Linear Supergroup Gl(m|n)

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Thorsten Heidersdorf (The Ohio State University) - Oberseminar Darstellungstheorie

What
  • Oberseminar
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
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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.