Gluing of perverse sheaves and discrete series representation

D. Kazhdan; G. Laumon

doi:10.1016/0393-0440(88)90014-9

Gluing of perverse sheaves and discrete series representation

D. Kazhdan^*
, G. Laumon

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

We construct new abelian categories by gluing perverse sheaves using Fourier Transformations. These new categories are related to representation theory and conjecturally lead to new cohomological realizations of representations of reductive groups over finite fields.

Original language	English
Pages (from-to)	63-120
Number of pages	58
Journal	Journal of Geometry and Physics
Volume	5
Issue number	1
DOIs	https://doi.org/10.1016/0393-0440(88)90014-9
State	Published - 1988

Keywords

Cohomologie ℓ-adique
groupes réductifs
théorie des representations
transformation de Fourier

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10.1016/0393-0440(88)90014-9

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title = "Gluing of perverse sheaves and discrete series representation",

abstract = "We construct new abelian categories by gluing perverse sheaves using Fourier Transformations. These new categories are related to representation theory and conjecturally lead to new cohomological realizations of representations of reductive groups over finite fields.",

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author = "D. Kazhdan and G. Laumon",

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AU - Kazhdan, D.

AU - Laumon, G.

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AB - We construct new abelian categories by gluing perverse sheaves using Fourier Transformations. These new categories are related to representation theory and conjecturally lead to new cohomological realizations of representations of reductive groups over finite fields.

KW - Cohomologie ℓ-adique

KW - groupes réductifs

KW - théorie des representations

KW - transformation de Fourier

UR - https://www.scopus.com/pages/publications/0039113077

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JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 1

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Gluing of perverse sheaves and discrete series representation

Abstract

Keywords

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