On automorphism groups of connected Lie groups.
On c-actions on compact complex manifolds with many compact orbits.
On Locally Symmetrie Homogeneous Domains of Completely Reducible Linear Lie Groups.
On observable subgroups of complex analytic groups and algebraic structures on analytic homogeneous spaces.
On Ol'shanskii's semigroup.
On porcupine varieties in Lie algebras.
On the complex and convex geometry of Ol'shanskii semigroups
To a pair of a Lie group and an open elliptic convex cone in its Lie algebra one associates a complex semigroup which permits an action of by biholomorphic mappings. In the case where is a vector space is a complex reductive group. In this paper we show that such semigroups are always Stein manifolds, that a biinvariant domain is Stein is and only if it is of the form , with convex, that each holomorphic function on extends to the smallest biinvariant Stein domain containing ,...
On the complex geometry of invariant domains in complexified symmetric spaces
Let be a real symmetric space and the corresponding decomposition of the Lie algebra. To each open -invariant domain consisting of real ad-diagonalizable elements, we associate a complex manifold which is a curved analog of a tube domain with base , and we have a natural action of by holomorphic mappings. We show that is a Stein manifold if and only if is convex, that the envelope of holomorphy is schlicht and that -invariant plurisubharmonic functions correspond to convex -invariant...
On the holomorphic separabilitiy of discrete quotients of complex Lie groups.
On the order of the automorphism group of a surface of general type.
On the set of orbits for a Borel subgroup.
On the Torelli problem of Abelian complex Lie groups.