A first guide to the character theory of finite groups of Lie type

2017/05/15 by Meinolf Geck, Geck, Meinolf · 1 citation
Mathematics · #20C33 #Advanced Algebra and Geometry #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1705.05083

openalex publication_date 2017/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This survey article is an introduction to some of Lusztig's work on the character theory of a finite group of Lie type G(F_q), where q is a power of a prime~p. It is partly based on two series of lectures given at the Centre Bernoulli (EPFL) in July 2016 and at a summer school in Les Diablerets in August 2015. Our focus here is on questions related to the parametrization of the irreducible characters and on results which hold without any assumption on~p or~q.

Cited by

• The sparsity of character tables over finite reductive groups and its additive analogue

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