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Complex Asystatic actions of compact Lie Groups

Differential Geometry 2007-05-23 v1 Representation Theory

Abstract

In the present paper we introduce the notion of complex asystatic Hamiltonian action on a K\"ahler manifold. In the algebraic setting we prove that if a complex linear group GG acts complex asystatically on a K\"ahler manifold then the GG-orbits are spherical. Finally we give the complete classification of complex asystatic irreducible representations.

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Cite

@article{arxiv.math/0411204,
  title  = {Complex Asystatic actions of compact Lie Groups},
  author = {Anna Gori and Fabio Podesta},
  journal= {arXiv preprint arXiv:math/0411204},
  year   = {2007}
}

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10 pages