Torsors, reductive group schemes and extended affine Lie algebras
From MaRDI portal
Publication:4979137
DOI10.1090/S0065-9266-2013-00679-XzbMath1354.17017arXiv1109.3405OpenAlexW2040362746MaRDI QIDQ4979137
Arturo Pianzola, Philippe Gille
Publication date: 17 June 2014
Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1109.3405
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Group actions on varieties or schemes (quotients) (14L30) Nonabelian homological algebra (category-theoretic aspects) (18G50) Homotopy theory and fundamental groups in algebraic geometry (14F35) Galois cohomology of linear algebraic groups (11E72) Group schemes (14L15)
Related Items (13)
Local models of Shimura varieties and a conjecture of Kottwitz ⋮ A cohomological proof of Peterson-Kac's theorem on conjugacy of Cartan subalgebras for affine Kac-Moody Lie algebras ⋮ Descent study of the Lie algebra of derivations of certain infinite-dimensional Lie algebras ⋮ Loop group schemes and Abhyankar's lemma ⋮ On conjugacy of Cartan subalgebras in extended affine Lie algebras ⋮ Isotopes of octonion algebras, \(\mathbf{G}_{2}\)-torsors and triality ⋮ Drinfeld-type presentations of loop algebras ⋮ Differentials for Lie algebras ⋮ A classification of torsors over Laurent polynomial rings ⋮ Conjugacy theorems for loop reductive group schemes and Lie algebras ⋮ Torsors of isotropic reductive groups over Laurent polynomials ⋮ Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation ⋮ Twisted quantum affinizations and quantization of extended affine lie algebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Vanishing of \(H^1\) for Dedekind rings and applications to loop algebras
- Formula for the Rost invariant
- A birational invariant for algebraic group actions.
- Fibres quadratiques et composantes connexes réelles
- Elementary abelian p-subgroups of algebraic groups
- Vanishing of Hochschild cohomology for affine group schemes and rigidity of homomorphisms between algebraic groups.
- Rational points over homogeneous spaces and their compactifications
- Reduction of structure for torsors over semilocal rings
- A lower bound on the essential dimension of a connected linear group
- Reductive groups on a local field. II. Groups schemes. Existence of valuated root datum
- Indecomposable algebras of prime exponent.
- Deformations of principal bundles on the projective line
- Galois Cohomology
- Unipotent subgroups of reductive groups in characteristic \(p>0\)
- Torsors on the affine line
- Affine Kac-Moody Lie algebras as torsors over the punctured line
- Arithmetic of linear algebraic groups over 2-dimensional geometric fields
- Group actions on twin buildings
- Crossed products over rational function fields
- Iterated loop algebras
- Multiloop algebras, iterated loop algebras and extended affine Lie algebras of nullity 2
- Galois cohomology and forms of algebras over Laurent polynomial rings
- Isotriviality and étale cohomology of Laurent polynomial rings
- A geometric approach to complete reducibility.
- Resolving \(G\)-torsors by abelian base extensions.
- On the equations defining Abelian varieties. I-III
- Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
- Automorphisms of affine algebraic groups
- On central division algebras
- Reductive groups over a local field
- Isotriviality of torsors over Laurent polynomial rings
- On semi-simple automorphisms of Lie algebras
- Galois-fixed points in the Bruhat-Tits building of a reductive group
- Torsors over the punctured affine line
- Serre’s Conjecture II: A Survey
- Totally Ramified Valuations on Finite-Dimensional Division Algebras
- Fully Reducible Subgroups of Algebraic Groups
- On the Classification of Rational Quantum Tori and the Structure of Their Automorphism Groups
- Realization of graded-simple algebras as loop algebras
- On orbits of algebraic groups and Lie groups
- Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
- Extended affine Lie algebras and their root systems
- Essential Dimensions of Algebraic Groups and a Resolution Theorem for G-Varieties
- Almost commuting elements in compact Lie groups
- Covering algebras II: Isomorphism of loop algebras
- Some functional properties of the Bruhat-Tits building
- Schémas en groupes réductifs
- Linear algebraic groups.
- The division algebras and Brauer group of a strictly Henselian field
This page was built for publication: Torsors, reductive group schemes and extended affine Lie algebras
