Proreductive groups attached to representations of the General Linear Supergroup Gl(mn)
Thorsten Heidersdorf (The Ohio State University)  Oberseminar Darstellungstheorie
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When 
Nov 27, 2015 from 02:15 pm to 03:15 pm 
Where  Bonn, Raum 1.008, MathematikZentrum, Endenicher Allee 60 
Contact Name  Sachinidis 
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The tensor category Rep(Gl(mn)) 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(mn)). The quotient is the representation category of a proreductive 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.