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
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 .
On finite same-invariant linear groups.
On groups with root system of type .
On maximal subgroups of the general linear group over the field of rational functions.
On normal abelian subgroups in parabolic groups
Let be a reductive algebraic group, a parabolic subgroup of with unipotent radical , and a closed connected subgroup of which is normalized by . We show that acts on with finitely many orbits provided is abelian. This generalizes a well-known finiteness result, namely the case when is central in . We also obtain an analogous result for the adjoint action of on invariant linear subspaces of the Lie algebra of which are abelian Lie algebras. Finally, we discuss a connection...
On quasihomogeneous manifolds – via Brion-Luna-Vust theorem
We consider a smooth projective variety on which a simple algebraic group acts with an open orbit. We discuss a theorem of Brion-Luna-Vust in order to relate the action of with the induced action of on the normal bundle of a closed orbit of the action. We get effective results in case and .
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.