Character Sheaves for Graded Lie Algebras: Stable Gradings
Preprint
Abstract
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 [GVX2].Keywords
All Related Versions
This publication has 14 references indexed in Scilit:
- Character sheaves for graded Lie algebras: Stable gradingsAdvances in Mathematics, 2023
- Character sheaves for symmetric pairs: Special linear groupsTransactions of the American Mathematical Society, 2022
- Epipelagic representations and rigid local systemsSelecta Mathematica, 2016
- Gradings of positive rank on simple Lie algebrasTransformation Groups, 2012
- Vinberg’s θ-groups in positive characteristic and Kostant–Weierstrass slicesTransformation Groups, 2009
- Study of Perverse Sheaves Arising from Graded Lie AlgebrasAdvances in Mathematics, 1995
- Characteristic varieties of character sheavesInventiones Mathematicae, 1988
- Intersection cohomology complexes on a reductive groupInventiones Mathematicae, 1984
- THE WEYL GROUP OF A GRADED LIE ALGEBRAMathematics of the USSR-Izvestiya, 1976
- Endomorphisms of linear algebraic groupsMemoirs of the American Mathematical Society, 1968