Classification of spherical nilpotent orbits for $U(p,p)$
نویسندگان
چکیده
منابع مشابه
Classification of Spherical Nilpotent Orbits in Complex Symmetric Space
Let G be the adjoint group of the simple real Lie algebra g , and let K C → Aut(p C ) be the complexified isotropy representation at the identity coset of the corresponding symmetric space. We classify the spherical nilpotent K C orbits in p C .
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Let G be a connected, linear semisimple Lie group with Lie algebra g, and let KC → Aut(pC ) be the complexified isotropy representation at the identity coset of the corresponding symmetric space. The Kostant-Sekiguchi correspondence is a bijection between the nilpotent KC -orbits in pC and the nilpotent G-orbits in g. We show that this correspondence associates each spherical nilpotent KC -orbi...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2004
ISSN: 2156-2261
DOI: 10.1215/kjm/1250283590