Symplectically asystatic actions of compact Lie groups |
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Authors: | Anna Gori Fabio Podesta |
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Institution: | (1) Dipartimento di Matematica e Appl. per l'Architettura, Piazza Ghiberti 27, 50100 Firenze, Italy |
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Abstract: | In this paper we introduce the notion of symplectically asystatic Hamiltonian action on a Kahler manifold. In the algebraic
setting we prove that if a complex linear group G acts on a Kahler manifold in a symplectically asystatic fashion, then the
G-orbits are spherical. Finally, we give the complete classification of symplectically asystatic irreducible representations. |
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Keywords: | |
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