On Supergroups and their Semisimplified Representation Categories

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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).

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Heidersdorf, T. (2019). On Supergroups and their Semisimplified Representation Categories. Algebras and Representation Theory, 22(4), 937–959. https://doi.org/10.1007/s10468-018-9806-4

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