An infinitesimal characterization of the complexity of homogeneous spaces |
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| Authors: | D I Panyushev E B Vinberg |
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| Institution: | (1) ul. akad. Anokhina d. 30, kor. 1, kv. 7, 117602 Moscow, Russia;(2) Department of Mathematics, Moscow State University, 119899 Moscow, Russia |
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| Abstract: | A characterization of the complexity of a homogeneous space
of a reductive groupG is given in terms of the mutual position of the tangent Lie algebra of the stabilizer of a generic point of
and the (–1)-eigenspace of a Weyl involution of
.Supported by Russian Foundation for Basic Research, Grant No. 98-01-00598.Supported by the U. S. Civilian Research and Development Foundation, Award No. 206, and Russian Foundation for Basic Research, Grant No. 98-01-00598. |
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