Character sheaves for graded Lie algebras: Stable gradings

In this paper we construct full support character sheaves for stably graded Lie algebras. Conjecturally these are precisely the cuspidal character sheaves. Irreducible representations of Hecke algebras associated to complex reflection groups at roots of unity enter the description. We do so by analy...

Full description

Saved in:

Bibliographic Details
Published in:	Advances in mathematics (New York. 1965) 2023-03, Vol.417, p.108935, Article 108935
Main Authors:	Vilonen, Kari, Xue, Ting
Format:	Article
Language:	eng
Subjects:	Character sheaves Complex reflection groups Cyclotomic Hecke algebras Graded Lie algebras Nearby cycles Perverse sheaves
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	In this paper we construct full support character sheaves for stably graded Lie algebras. Conjecturally these are precisely the cuspidal character sheaves. Irreducible representations of Hecke algebras associated to complex reflection groups at roots of unity enter the description. We do so by analysing the Fourier transform of the nearby cycle sheaves constructed in [8].
ISSN:	0001-8708 1090-2082