Modular Representations, Old and New
Representation Theory
2011-08-17 v1 Group Theory
Abstract
The modular representation theory of finite groups has its origins in the work of Richard Brauer. In this survey article we first discuss the work being done on some outstanding conjectures in the theory. We then describe work done in the eighties and nineties on modular representations in non-defining characteristic of finite reductive groups. In the second part of the paper we discuss some recent developments in the theory for symmetric groups and Hecke algebras, where remarkable connections with Lie theory and graded representation theory have been made.
Cite
@article{arxiv.1108.3310,
title = {Modular Representations, Old and New},
author = {Bhama Srinivasan},
journal= {arXiv preprint arXiv:1108.3310},
year = {2011}
}
Comments
The paper will appear in the conference proceedings "Buildings, Geometries and Groups", Springer Proceedings in Mathematics (PROM)(2011)}