On Certain Representations of Semi-Simple Algebraic Groups and the Arithmetic of the Corresponding Invariants.
On classical invariant theory and binary cubics
Let be a reductive complex algebraic group, and let denote the algebra of invariant polynomial functions on the direct sum of copies of the representations space of . There is a smallest integer such that generators and relations of can be obtained from those of by polarization and restitution for all . We bound and the degrees of generators and relations of , extending results of Vust. We apply our techniques to compute the invariant theory of binary cubics.
On Collineation Groups of Finite Projective Spaces.
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 conjugating representations and adjoint representations of semisimple groups.
On Cycles in Flag Manifolds.
On cyclic subgroups of the group .
On D-connected sets in the space
On deformations of hyperbolic 3-manifolds with geodesic boundary.
On Density Properties of Certain Subgroups with Boundedness Conditions.
On Dye's condition in nilpotent groups of class 2
On extensions of an elementary abelian group of order by
On Faithful Representations of the Holomorph of Lie Groups.
On Finite Desarguesian Planes. III.
On finite dimensional representations of non-connected reductive groups.
On finite groups isospectral to simple symplectic and orthogonal groups.
On finite homomorphic images of the multiplicative group of a division algebra.
On finite same-invariant linear groups.
On Gauss sum characters of finite groups and generalized Bernoulli numbers