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arXiv · 1703.01085

Local Representation Theory of Transporter Categories

Fei Xu
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Abstract

We attempt to generalize the $p$-modular representation theory of finite groups to finite transporter categories, which are regarded as generalized groups. We shall carry on our tasks through modules of transporter category algebras, a type of Gorenstein skew group algebras. The Kan extensions, upgrading the induction and co-induction, are our main tools to establish connections between representations of a transporter category and of its transporter subcategories. Some important constructions and theorems in local representation theory of finite groups are generalized.

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Fei Xu. 2017-03-03. Local Representation Theory of Transporter Categories. https://arxiv.org/abs/1703.01085

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