Computing Galois cohomology of a real linear algebraic group

DOI10.1112/jlms.12906zbMath1540.20091MaRDI QIDQ6536657

Mikhail Borovoi, Willem A. De Graaf

Publication date: 13 May 2024

Published in: Journal of the London Mathematical Society. Second Series (Search for Journal in Brave)

Mathematics Subject Classification ID

Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Cohomology theory for linear algebraic groups (20G10) Galois cohomology of linear algebraic groups (11E72)

Cites Work

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• Real homogeneous spaces, Galois cohomology, and reeder puzzles
• A computational approach to the Kostant-Sekiguchi correspondence
• Black hole solutions to the \(F_4\)-model and their orbits (I)
• Weak approximation property and Hasse principle fo homogeneous spaces with finite solvable stabilizer
• Generating geodesic flows and supergravity solutions
• Stable trace formula: Elliptic singular terms
• Galois cohomologies of real reductive groups and real forms of simple Lie algebras
• Abelianization of the second nonabelian Galois cohomology
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Les groupes réels simples, finis et continus.
• The geometry of three-forms in six dimensions.
• Galois and Cartan cohomology of real groups
• Hasse principles and approximation theorems for homogeneous spaces over fields of virtual cohomological dimension one
• Galois cohomology of real semisimple groups via Kac labelings
• Galois cohomology of real quasi-connected reductive groups
• Equivariant models of spherical varieties
• Computing the real Weyl group
• Automorphisms of finite order of semisimple Lie algebras
• Computing with real Lie algebras: real forms, Cartan decompositions, and Cartan subalgebras
• Théoremes de finitude en cohomologie galoisienne
• Graded Lie algebras and symmetric spaces
• Complements à l'article: Groupes reductifs
• Lectures on Chevalley Groups
• Algebraic Groups
• Classification of trivectors of an eight-dimensional real vector space
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
• Néron Models
• Grothendieck’s theorem on non-abelian 𝐻² and local-global principles
• Computing in groups of Lie type
• Pseudo-reductive Groups
• Cohomological representations for real reductive groups
• Conjugation of semisimple subgroups over real number fields of bounded degree
• Lie groups beyond an introduction
• Constructing representations of split semisimple Lie algebras
• Galois cohomology and component group of a real reductive group
• Galois cohomology of reductive algebraic groups over the field of real numbers

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