About: Deligne–Lusztig theory

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In mathematics, Deligne–Lusztig theory is a way of constructing linear representations of finite groups of Lie type using ℓ-adic cohomology with compact support, introduced by Pierre Deligne and George Lusztig. used these representations to find all representations of all finite simple groups of Lie type.

Attributes	Values
rdf:type	yago:Abstraction100002137 yago:Group100031264 yago:WikicatFiniteGroups
rdfs:label	Deligne–Lusztig theory (en)
rdfs:comment	In mathematics, Deligne–Lusztig theory is a way of constructing linear representations of finite groups of Lie type using ℓ-adic cohomology with compact support, introduced by Pierre Deligne and George Lusztig. used these representations to find all representations of all finite simple groups of Lie type. (en)
dcterms:subject	Finite groups Representation theory
Wikipage page ID	10574794 (xsd:integer)
Wikipage revision ID	1122664441 (xsd:integer)
Link from a Wikipage to another Wikipage	Cambridge University Press Canonical map Princeton University Press Modular invariant of a group Zuckerman functor Borel–Weil–Bott theorem Algebraic torus Annals of Mathematics Vladimir Drinfeld Index of a subgroup Inventiones Mathematicae Levi decomposition Parabolic induction Compact support Gelfand–Graev representation General linear group Frobenius map George Lusztig Steinberg representation Torsor Galois cohomology Langlands dual group Linear algebraic group Local field Local system Perverse sheaf Θ10 American Mathematical Society Finite groups Alvis–Curtis duality Finite field Jordan–Chevalley decomposition Principal series representation Hermann Weyl Representation theory Advances in Mathematics Reductive group Borel subgroup Pierre Deligne Polynomial Split reductive group Groups of Lie type Bruhat decomposition Ian G. Macdonald Root datum Weyl group Affine curve Intersection cohomology Transactions of the American Mathematical Society L-adic cohomology Normalizer Centralizer Finite simple group Langlands conjecture Coxeter number Discrete series Group character Simple root (root system) Positive root Kazhdan–Lusztig polynomials dbr:Diagram_automorphism dbr:Lang_isogeny dbr:Real_semisimple_group
Link from a Wikipage to an external page	https://www.cambridge.org/core/journals/nagoya-mathematical-journal/article/survey-of-the-work-of-george-lusztig/2D3DC96C3D5DA53496623DD70D8DFC95
sameAs	Deligne–Lusztig theory Deligne–Lusztig theory Deligne–Lusztig theory
dbp:wikiPageUsesTemplate	dbt:Springer dbt:Citation dbt:Cite_encyclopedia dbt:Harvtxt dbt:Main dbt:Harvs
author	Roger W. Carter (en)
authorlink	Pierre Deligne (en) George Lusztig (en) Sandy Green (en)
first	George (en) Pierre (en) J. A. (en)
id	D/d120100 (en)
last	Green (en) Deligne (en) Lusztig (en)
title	Deligne–Lusztig characters (en)
year	1955 (xsd:integer) 1976 (xsd:integer)
has abstract	In mathematics, Deligne–Lusztig theory is a way of constructing linear representations of finite groups of Lie type using ℓ-adic cohomology with compact support, introduced by Pierre Deligne and George Lusztig. used these representations to find all representations of all finite simple groups of Lie type. (en)
gold:hypernym	Way
prov:wasDerivedFrom	wikipedia-en:Deligne–Lusztig_theory?oldid=1122664441&ns=0
page length (characters) of wiki page	28509 (xsd:nonNegativeInteger)

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