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Displaying 181 – 200 of 257

Uniform instability in reductive groups.

Wim H. Hesselink (1978)

Journal für die reine und angewandte Mathematik

Universal transitivity of simple and 2-simple prehomogeneous vector spaces

T. Kimura, S. Kasai, H. Hosokawa (1988)

Annales de l'institut Fourier

We denote by $k$ a field of characteristic zero satisfying $H^{1} (k, Aut (S L_{2})) \neq 0$ . Let $G$ be a connected $k$ -split linear algebraic group acting on $X = {Aff}^{n}$ rationally by $ρ$ with a Zariski-dense $G$ -orbit $Y$ . A prehomogeneous vector space $(G, ρ$ ,X) is called “universally transitive” if the set of $k$ -rational points $Y (k)$ is a single $ρ$ $(G) ...$

Unramified cohomology of classifying varieties for classical simply connected groups

Alexander Merkurjev (2002) Annales scientifiques de l'École Normale Supérieure

Vahlen's Group of Clifford Matrices and Spin-Groups.

J. Mennicke, J. Elstrodt, F. Grunewald (1987) Mathematische Zeitschrift

Vanishing of Hochschild cohomology for affine group schemes and rigidity of homomorphisms between algebraic groups.

Margaux, Benedictus (2009) Documenta Mathematica

Variations on a theme of groups splitting by a quadratic extension and Grothendieck-Serre conjecture for group schemes $F_{4}$ with trivial $g_{3}$ invariant.

Chernousov, V. (2010)

Documenta Mathematica

Veränderungen über einen Satz von Timmesfeld – I. Quadratic Actions

Adrien Deloro (2013)

Confluentes Mathematici

We classify quadratic ${SL}_{2} (𝕂)$ - and ${𝔰𝔩}_{2} (𝕂)$ -modules by crude computation, generalising in the first case a Theorem proved independently by F.G. Timmesfeld and S. Smith. The paper is the first of a series dealing with linearisation results for abstract modules of algebraic groups and associated Lie rings.

Wahl’s conjecture holds in odd characteristics for symplectic and orthogonal Grassmannians

Venkatramani Lakshmibai, Komaranapuram Raghavan, Parameswaran Sankaran (2009)

Open Mathematics

It is shown that the proof by Mehta and Parameswaran of Wahl’s conjecture for Grassmannians in positive odd characteristics also works for symplectic and orthogonal Grassmannians.