2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73166In 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 $G$ acts complex asystatically on a Kähler manifold then the $G$-orbits are spherical. Finally we give the complete classification of complex asystatic irreducible representations.10 pagesDifferential GeometryRepresentation Theory57S15text