Modular Representations, Old and New

Details Modular Representations, Old and New Modular Representations, Old and New

2011-08-16

arxiv.org/abs/1108.3310v1

Mathematics

Representation Theory

The paper will appear in the conference proceedings "Buildings, Geometries and Groups", Springer Proceedings in Mathematics (P

Scientific paper

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.

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