Generic representations of finite general linear groups in cross characteristic
Category Theory
2024-02-02 v2 K-Theory and Homology
Representation Theory
Abstract
We study generic representations of general linear groups over a finite ring R with coefficients in a field k in which the cardinality of R is invertible, that is functors from finitely-generated projective R-modules to k-vector spaces. We obtain especially a classification of such simple representations, what allows to prove a conjecture of Djament-Touz{\'e}-Vespa on dimensions taken by such a functor.
Keywords
Cite
@article{arxiv.2305.02581,
title = {Generic representations of finite general linear groups in cross characteristic},
author = {Aurélien Djament and Thomas Gaujal},
journal= {arXiv preprint arXiv:2305.02581},
year = {2024}
}
Comments
in French language, R{\'e}vision mineure par rapport au premier d{\'e}p{\^o}t