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Complex Asystatic actions of compact Lie Groups

Anna Gori·Fabio Podesta
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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 $G$ acts complex asystatically on a Kähler manifold then the $G$-orbits are spherical. Finally we give the complete classification of complex asystatic irreducible representations.

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BibTeXRIS

Anna Gori, Fabio Podesta. 2004-11-09. Complex Asystatic actions of compact Lie Groups. https://arxiv.org/abs/math/0411204

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