Výsledky vyhledávání - "Chernousov, V."

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Three-point Lie algebras and Grothendieck's dessins d'enfants

Autor: Chernousov, V., Gille, Philippe, Pianzola, Arturo

We define and classify the analogues of the affine Kac-Moody Lie algebras for the ring corresponding to the complex projective line minus three points. The classification is given in terms of Grothendieck's dessins d'enfants. We also study the questi

Externí odkaz: http://arxiv.org/abs/1311.7097

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Conjugacy theorems for loop reductive group schemes and Lie algebras

Autor: Chernousov, V., Gille, Philippe, Pianzola, Arturo

Publikováno v: Bulletin Mathematical Sciences 4, 2 (2014) 281-324

The conjugacy of split Cartan subalgebras in the finite dimensional simple case (Chevalley) and in the symmetrizable Kac-Moody case (Peterson-Kac) are fundamental results of the theory of Lie algebras. Among the Kac-Moody Lie algebras the affine alge

Externí odkaz: http://arxiv.org/abs/1109.5236

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Reduction of structure for torsors over semilocal rings

Autor: Chernousov, V., Gille, Ph., Reichstein, Z.

Publikováno v: Manuscripta Math. 126 (2008), no. 4, 465--480.

Let G be a reductive affine group scheme defined over a semilocal ring k. Assume that either G is semisimple or k is normal and noetherian. We show that G has a finite k-subgroup S such that the natural map H^1(R, S) --> H^1(R, G) is surjective for e

Externí odkaz: http://arxiv.org/abs/0710.2064

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Resolving G-torsors by abelian base extensions

Autor: Chernousov, V., Gille, Ph., Reichstein, Z.

Publikováno v: Journal of Algebra 296 (2006), 561-581

Let G be a linear algebraic group defined over a field k. We prove that, under mild assumptions on k and G, there exists a finite k-subgroup S of G such that the natural map H^1(K, S) -> H^1(K, G) is surjective for every field extension K/k. We give

Externí odkaz: http://arxiv.org/abs/math/0404392

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