Titre :	Characters of reductive groups over a finite field
Type de document :	texte imprimé
Auteurs :	Lusztig, G.
Editeur :	Princeton, NJ : Princeton University
Année de publication :	1984
Importance :	xxi - 384 p.
ISBN/ISSN/EAN :	978-0-691-08350-6
Langues :	Anglais
Catégories :	14-XX Algebraic geometry:14FXX (Co)homology theory :14F20 Étale and other Grothendieck topologies and (co)homologies 14-XX Algebraic geometry:14LXX Algebraic groups :14L30 Group actions on varieties or schemes (quotients) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B35 Universal enveloping algebras 20-XX Group theory and generalizations:20-02 Research exposition (monographs, survey articles) 20-XX Group theory and generalizations:20GXX Linear algebraic groups (classical groups) :20G05 Representation theory 20-XX Group theory and generalizations:20GXX Linear algebraic groups (classical groups) :20G10 Cohomology theory 20-XX Group theory and generalizations:20GXX Linear algebraic groups (classical groups) :20G40 Linear algebraic groups over finite fields
Mots-clés :	unipotent representations  complex reductive lie algebras  enveloping algebras  hecke algebras  weyl groups  schubert cells  intersection cohomology  irreducible components  multiplicities  irreducible representations  characters  virtual representation  $ell$-adic cohomology groups  maximal tori  weyl group  tangent bundle  orbits  line bundles  borel subgroups  projective variety  connected reductive algebraic group  root systems
Index. décimale :	20C Monographie

Characters of reductive groups over a finite field [texte imprimé] / Lusztig, G. . - Princeton, NJ : Princeton University, 1984 . - xxi - 384 p.
ISBN : 978-0-691-08350-6
Langues : Anglais

Catégories :	14-XX Algebraic geometry:14FXX (Co)homology theory :14F20 Étale and other Grothendieck topologies and (co)homologies 14-XX Algebraic geometry:14LXX Algebraic groups :14L30 Group actions on varieties or schemes (quotients) 17-XX Nonassociative rings and algebras:17BXX Lie algebras and Lie superalgebras :17B35 Universal enveloping algebras 20-XX Group theory and generalizations:20-02 Research exposition (monographs, survey articles) 20-XX Group theory and generalizations:20GXX Linear algebraic groups (classical groups) :20G05 Representation theory 20-XX Group theory and generalizations:20GXX Linear algebraic groups (classical groups) :20G10 Cohomology theory 20-XX Group theory and generalizations:20GXX Linear algebraic groups (classical groups) :20G40 Linear algebraic groups over finite fields
Mots-clés :	unipotent representations  complex reductive lie algebras  enveloping algebras  hecke algebras  weyl groups  schubert cells  intersection cohomology  irreducible components  multiplicities  irreducible representations  characters  virtual representation  $ell$-adic cohomology groups  maximal tori  weyl group  tangent bundle  orbits  line bundles  borel subgroups  projective variety  connected reductive algebraic group  root systems
Index. décimale :	20C Monographie