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On supergroups and their semisimplified representation categories

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Heidersdorf,  Thorsten
Max Planck Institute for Mathematics, Max Planck Society;

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Heidersdorf, T. (2019). On supergroups and their semisimplified representation categories. Algebras and Representation Theory, 22(4), 937-959. doi:10.1007/s10468-018-9806-4.


Cite as: http://hdl.handle.net/21.11116/0000-0004-9C9F-A
Abstract
The representation category A=Rep(G,ϵ) of a supergroup scheme G has a largest proper tensor ideal, the ideal N of negligible morphisms. If we divide A by N we get the semisimple representation category of a pro-reductive supergroup scheme Gred. We list some of its properties and determine Gred in the case GL(m|1).