On Galois cohomology of connected reductive groups and Kottwitz exact sequence
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Publication:1729297
DOI10.1016/j.bulsci.2019.01.002zbMath1473.11086OpenAlexW2910496780MaRDI QIDQ1729297
Publication date: 27 February 2019
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.bulsci.2019.01.002
Galois cohomologyweak approximationreductive groupsLanglands duallocal and global fieldsHasse principles
Nonabelian homological algebra (category-theoretic aspects) (18G50) Cohomology theory for linear algebraic groups (20G10) Galois cohomology of linear algebraic groups (11E72)
Cites Work
- On some Hasse principles for algebraic groups over global fields
- On Galois cohomology and weak approximation of connected reductive groups over fields of positive characteristic
- Nombres de Tamagawa et groupes unipotents en caractéristique p
- The fundamental lemma for Lie algebras
- Counting points on Igusa varieties
- Stable trace formula: Cuspidal tempered terms
- Stable trace formula: Elliptic singular terms
- The geometry of algebraic groups
- Abelianization of the second nonabelian Galois cohomology
- Galois Cohomology
- On Picard groups of algebraic fibre spaces
- Weak approximation, Brauer and \(R\)-equivalence in algebraic groups over arithmetical fields. II.
- Arithmetic of linear algebraic groups over 2-dimensional geometric fields
- Arithmetical birational invariants of linear algebraic groups over two-dimensional geometric fields
- Quasi-abelian crossed modules and nonabelian cohomology
- A norm principle for class groups of reductive group schemes over Dedekind rings of integers of local and global fields
- On Galois cohomology of semisimple groups over local and global fields of positive characteristic. III
- On Galois cohomology of semisimple groups over local and global fields of positive characteristic
- Über die Galoiskohomologie halbeinfacher Matrizengruppen II
- Cohomology of artinian group schemes over local fields
- The cohomological dimension of certain Grothendieck topologies
- Bericht über neuere Resultate der Galoiskohomologie halbeinfacher Gruppen
- Schémas en groupes. III: Structure des schémas en groupes réductifs. Exposés XIX à XXVI. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3), dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint
- Lectures on Galois cohomology of classical groups. With an appendix by T. Springer
- On some Hasse principles for homogeneous spaces of algebraic groups over global fields of positive characteristic
- Comptage des -chtoucas: la partie elliptique
- Le défaut d'approximation forte dans les groupes linéaires connexes
- Résolutions flasques des groupes linéaires connexes
- Abelian Galois cohomology of reductive groups
- Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
- Über die Galoiskohomologie halbeinfacher algebraischer Gruppen. III.
- La $R$-équivalence sur les tores
- A.D. Alexandrov spaces with curvature bounded below
- Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale
- Tate-Shafarevich kernel, weak Brauer and R-equivalence on connected reductive groups over local and global fields
- LA COURBE
- G-torseurs en théorie de Hodgep-adique
- The Cohomology Groups of Tori in Finite Galois Extensions of Number Fields
- Weak approximation, Brauer and \(R\)-equivalence in algebraic groups over arithmetical fields
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