Gluing of perverse sheaves and discrete series representation
type: Item
instance of: scholarly article
title: Gluing of perverse sheaves and discrete series representation
zbMATH Open document ID: 0693.14008
DOI: 10.1016/0393-0440(88)90014-9
published in: Journal of Geometry and Physics
publication date: 1988-01-01T00:00:00Z
review text: New abelian categories are constructed by gluing perverse sheaves using Fourier-Deligne transformations. A possible application of this construction is to obtain new realizations of discrete series representations for reductive groups over finite fields.
reviewed by: Alexandru Dimca
Mathematics Subject Classification ID: 14F30
Mathematics Subject Classification ID: 20G05
Mathematics Subject Classification ID: 20G40
zbMATH DE Number: 4134205
zbMATH Keywords: gluing perverse sheaves
zbMATH Keywords: representations for reductive groups over finite fields
author: David Kazhdan
author: Gérard Laumon
MaRDI profile type: Publication
full work available at URL: 0393-0440(88)90014-9
OpenAlex ID: W1973288673
cites work: Q3797301
cites work: Q3320507
cites work: Désingularisation des variétés de Schubert généralisées
cites work: Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.)
cites work: Fourier transformat, constants of the functional equations and Weil conjecture
cites work: Linear algebraic groups
cites work: Q5670775
cites work: Q3765893
cites work: Q5822688
cites work: Q5566772
description: scientific article; zbMATH DE number 4134205