scientific article
From MaRDI portal
Publication:3566605
zbMath1198.20038MaRDI QIDQ3566605
Publication date: 8 June 2010
Full work available at URL: http://smf4.emath.fr/en/Publications/Asterisque/2009/326/html/smf_ast_326_39-82.php
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
number fieldslinear algebraic groupsstrong approximationsimple groupsisotropic algebraic groupsHenselian valuations
Linear algebraic groups over arbitrary fields (20G15) Linear algebraic groups over global fields and their integers (20G30) Classical groups (algebro-geometric aspects) (14L35) Motivic cohomology; motivic homotopy theory (14F42) Rationally connected varieties (14M22)
Related Items (38)
Unipotent Generators for Arithmetic Groups ⋮ Problems about torsors over regular rings ⋮ On the Grothendieck-Serre conjecture about principal bundles and its generalizations ⋮ On the congruence kernel for simple algebraic groups ⋮ Grothendieck–Serre in the quasi-split unramified case ⋮ On the Grothendieck-Serre conjecture concerning principal \(G\)-bundles over semilocal Dedekind domains ⋮ Connectivity of motivic \(H\)-spaces ⋮ On the congruence subgroup problem for anisotropic groups of inner type \(A_n\) ⋮ A survey on Albert algebras ⋮ Albert algebras and the Tits-Weiss conjecture ⋮ 𝔸¹-connectedness in reductive algebraic groups ⋮ Strong A1${\mathbb {A}}^1$‐invariance of A1${\mathbb {A}}^1$‐connected components of reductive algebraic groups ⋮ Une liste de problèmes ⋮ Cellular \(\mathbb{A}^1\)-homology and the motivic version of Matsumoto's theorem ⋮ A proof of the Grothendieck-Serre conjecture on principal bundles over regular local rings containing infinite fields ⋮ On some arithmetic questions of reductive groups over algebraic extensions of local and global fields ⋮ Prescribed behavior of central simple algebras after scalar extension. ⋮ Proof of the Grothendieck–Serre conjecture on principal bundles over regular local rings containing a field ⋮ Character rigidity of simple algebraic groups ⋮ Equivariant \(K\)-theory of semi-infinite flag manifolds and the Pieri-Chevalley formula ⋮ Linear algebraic groups with good reduction ⋮ Chevalley groups of type \(E_7\) in the 56-dimensional representation. ⋮ Notes on a Grothendieck-Serre conjecture in mixed characteristic case ⋮ Serre’s Conjecture II: A Survey ⋮ Quaternion Algebras with the Same Subfields ⋮ Strong approximation for semi-simple homogenenous groups over the field of functions of a complex algebraic curve ⋮ Affine representability results in \(\mathbb A^1\)-homotopy theory. II: Principal bundles and homogeneous spaces ⋮ Isotropic reductive groups over discrete Hodge algebras ⋮ Smooth varieties up to \(\mathbb A^1\)-homotopy and algebraic \(h\)-cobordisms ⋮ Pfister’s theorem for orthogonal involutions of degree 12 ⋮ Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian ⋮ Elementary subgroups of isotropic reductive groups ⋮ On \(R\)-triviality of \(F_4\) ⋮ $E_8$, the most exceptional group ⋮ Automorphisms of Albert algebras and a conjecture of Tits and Weiss II ⋮ \(\mathbb{A}^1\)-invariance of non-stable \(K_1\)-functors in the equicharacteristic case ⋮ On the Tits–Weiss conjecture and the Kneser–Tits conjecture for and (With an Appendix by R. M. Weiss) ⋮ On the profinite rigidity of lattices in higher rank Lie groups
This page was built for publication: