Character sheaves. III
type: Item
instance of: scholarly article
title: Character sheaves. III
zbMATH Open document ID: 0594.20031
DOI: 10.1016/0001-8708(85)90065-9
author: G. Lusztig
published in: Advances in Mathematics
publication date: 1985-01-01T00:00:00Z
review text: The paper under review is part of a series of papers [cf. the author, ibid. 56, 193-237 (1985; Zbl 0586.20018) and 57, 226-265 (1985; Zbl 0586.20019)] devoted to the study of a class \(\hat G\) of irreducible perverse sheaves (called character sheaves) on a connected reductive algebraic group G. One of the main results of the paper reviewed is the following one: under certain assumptions, there is a natural surjective map with finite fibers from \(\hat G\) to the set of all pairs (\({\mathcal L},c)\) (up to conjugacy by the Weyl group), where \({\mathcal L}\) is a tame local system on the maximal torus and c is a ''two-sided cell'' in the stabilizer \(W_{{\mathcal L}}'\) of \({\mathcal L}\) in the Weyl group.
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 14F30
Mathematics Subject Classification ID: 14L30
Mathematics Subject Classification ID: 20G15
zbMATH DE Number: 3955217
zbMATH Keywords: irreducible perverse sheaves
zbMATH Keywords: character sheaves
zbMATH Keywords: connected reductive algebraic group
zbMATH Keywords: Weyl group
zbMATH Keywords: maximal torus
reviewed by: Nikolai I. Osetinski
MaRDI profile type: Publication
full work available at URL: 0001-8708(85)90065-9
OpenAlex ID: W4210378730
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description: scientific article; zbMATH DE number 3955217