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The aim of this paper is to extend the results of [BB-Ś2] concerning geometric quotients of actions of SL(2) to the case of good quotients. Thus the results of the present paper can be applied to any action of SL(2) on a complete smooth algebraic variety, while the theorems proved in [BB-Ś2] concerned only special situations.

On cyclic subgroups of the group ${GL}_{k} (F)$ .

Shokuev, V. N. (2001)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

On finite same-invariant linear groups.

Kushpel', N.N. (2005)

Journal of Mathematical Sciences (New York)

On groups with root system of type $^{2} F_{4}$ .

Oueslati, H. (2009)

Beiträge zur Algebra und Geometrie

On maximal subgroups of the general linear group over the field of rational functions.

Dzhusoeva, N.A., Dzigoeva, V.S., Koĭbaev, V.A. (2010)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

On normal abelian subgroups in parabolic groups

Gerhard Röhrle (1998)

Annales de l'institut Fourier

Let $G$ be a reductive algebraic group, $P$ a parabolic subgroup of $G$ with unipotent radical $P_{u}$ , and $A$ a closed connected subgroup of $P_{u}$ which is normalized by $P$ . We show that $P$ acts on $A$ with finitely many orbits provided $A$ is abelian. This generalizes a well-known finiteness result, namely the case when $A$ is central in $P_{u}$ . We also obtain an analogous result for the adjoint action of $P$ on invariant linear subspaces of the Lie algebra of $P_{u}$ which are abelian Lie algebras. Finally, we discuss a connection...

On quasihomogeneous manifolds – via Brion-Luna-Vust theorem

Marco Andreatta, Jarosław A. Wiśniewski (2003)

Bollettino dell'Unione Matematica Italiana

We consider a smooth projective variety $X$ on which a simple algebraic group $G$ acts with an open orbit. We discuss a theorem of Brion-Luna-Vust in order to relate the action of $G$ with the induced action of $G$ on the normal bundle of a closed orbit of the action. We get effective results in case $G = S L (n)$ and $dim X \leq 2 n - 2$ .

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Observable radizielle Untergruppen von halbeinfachen algebraischen Gruppen.

On a class of groups with strongly embedded subgroup.

On certain algebraic groups attached to local number-fields.

On complete orbit spaces of SL(2) actions

On complete orbit spaces of SL(2) actions, II

On cyclic subgroups of the group ${GL}_{k} (F)$ .

On finite same-invariant linear groups.

On groups with root system of type $^{2} F_{4}$ .

On maximal subgroups of the general linear group over the field of rational functions.

On normal abelian subgroups in parabolic groups

On quasihomogeneous manifolds – via Brion-Luna-Vust theorem

On reducible and decomposable representations of orders.

On some geometric aspects of Bruhat orderings. I. A finer decomposition of Bruhat cells.

On some reductive group actions on affine space II.

On Structure of Weyl Modules.

On the composition factors of Weyl modules.

On the Desingularization of the Unipotent Variety.

On the inverse Kazhdan-Lusztig polynomials for affine Weyl groups.

On the isomorphisms of the projective orthogonal groups and their congruence subgroups.

On the Kneser-Tits problem.

Currently displaying 1 – 20 of 30