Titre :	Representations of algebraic groups
Type de document :	texte imprimé
Auteurs :	Jantzen, Jens C.
Editeur :	Academic Press, Inc.
Année de publication :	1987
Collection :	PURE AND APPLIED MATHEMATICS num. 131
Importance :	xiii - 443 p.
ISBN/ISSN/EAN :	978-0-12-380245-3
Langues :	Anglais
Catégories :	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
Mots-clés :	line bundles  schubert schemes  ring of regular functions  cohomology ring  steinberg modules  filtrations  dominant weights  linkage principle  characters  borel-bott-weil theorem  kempf's vanishing theorem  irreducible representations  steinberg's tensor product theorem  split reductive group schemes  hyperalgebra  hochschild cohomology groups  derived functors  injective resolutions  injective modules  affine group schemes  weyl's formula  character formula  highest weights  simple g-modules  reductive algebraic groups  representation theory
Index. décimale :	20C Monographie

Representations of algebraic groups [texte imprimé] / Jantzen, Jens C. . - [S.l.] : Academic Press, Inc., 1987 . - xiii - 443 p.. - (PURE AND APPLIED MATHEMATICS; 131) .
ISBN : 978-0-12-380245-3
Langues : Anglais

Catégories :	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
Mots-clés :	line bundles  schubert schemes  ring of regular functions  cohomology ring  steinberg modules  filtrations  dominant weights  linkage principle  characters  borel-bott-weil theorem  kempf's vanishing theorem  irreducible representations  steinberg's tensor product theorem  split reductive group schemes  hyperalgebra  hochschild cohomology groups  derived functors  injective resolutions  injective modules  affine group schemes  weyl's formula  character formula  highest weights  simple g-modules  reductive algebraic groups  representation theory
Index. décimale :	20C Monographie