Complex Asystatic actions of compact Lie Groups
arXiv:math/0411204
Abstract
In the present paper we introduce the notion of complex asystatic Hamiltonian action on a Kähler manifold. In the algebraic setting we prove that if a complex linear group acts complex asystatically on a Kähler manifold then the -orbits are spherical. Finally we give the complete classification of complex asystatic irreducible representations.
10 pages