Local Representation Theory of Transporter Categories
Representation Theory
2017-03-06 v1 Group Theory
Abstract
We attempt to generalize the -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.
Keywords
Cite
@article{arxiv.1703.01085,
title = {Local Representation Theory of Transporter Categories},
author = {Fei Xu},
journal= {arXiv preprint arXiv:1703.01085},
year = {2017}
}