Character sheaves and generalizations

2003/09/07 by G. Lusztig, Lusztig, G. · 1 citation
Mathematics · #20G99 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #math.RT #msc:20G99

paper · pdf · doi:10.48550/arxiv.math/0309134

12 pages

arxiv created 2003/09/07 · openalex publication_date 2003/09/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper contains an exposition of the theory of character sheaves for reductive groups and some attempts to extend it to other cases: unipotent groups, reductive groups modulo the unipotent radical of a parabolic.

Cited by

• Unipotent groups with trivial \mathbbL-packets are easy

Related

• Character sheaves on disconnected groups, I
• Parabolic character sheaves, II
• Character sheaves on disconnected groups, V
• Character sheaves on disconnected groups, VIII
• Character sheaves on unipotent groups in characteristic p>0