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On the classification of infinite-dimensional irreducible Hermitian-symmetric affine coadjoint orbits

2009
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Forum mathematicum
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In the finite-dimensional setting, every Hermitian-symmetric space of compact type is a coadjoint orbit of a finite-dimensional Lie group. It is natural to ask whether every infinite-dimensional Hermitiansymmetric space of compact type, which is a particular example of an Hilbert manifold, is transitively acted upon by a Hilbert Lie group of isometries. In this paper we give the classification of infinitedimensional irreducible Hermitian-symmetric affine coadjoint orbits of simple connected L *

doi:10.1515/forum.2009.018
fatcat:k4mbemelerfoxpom4wv5gzc25e