Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895761 | Journal of Algebra | 2018 | 41 Pages |
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 [1] are generalized.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Fei Xu,