Regular Orbits of Symmetric Subgroups on Partial Flag Varieties

作者: Dan Ciubotaru , Kyo Nishiyama , Peter E. Trapa

DOI: 10.1007/978-0-8176-4817-6_4

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摘要: We give a new parameterization of the orbits symmetric subgroup on partial flag variety. The is in terms Spaltenstein varieties and associated nilpotent orbits. explain applications to enumerating special unipotent representations real reductive groups, as well (a portion of) closure order set coadjoint

参考文章(32)
Donald R. King, The component groups of nilpotents in exceptional simple real lie algebras Communications in Algebra. ,vol. 20, pp. 219- 284 ,(1992) , 10.1080/00927879208824339
Dan M. Barbasch, Peter E. Trapa, Stable Combinations of Special Unipotent Representations arXiv: Representation Theory. ,(2010)
David A. Vogan, Associated Varieties and Unipotent Representations Birkhäuser Boston. pp. 315- 388 ,(1991) , 10.1007/978-1-4612-0455-8_17
Dan Barbasch, David A. Vogan, Unipotent representations of complex semisimple groups Annals of Mathematics. ,vol. 121, pp. 41- 110 ,(1985) , 10.2307/1971193
Anthony W. Knapp, David A. Vogan, Cohomological Induction and Unitary Representations (PMS-45) Princeton University Press. ,(1995) , 10.1515/9781400883936
Walter Borho, Jean-Luc Brylinski, Differential operators on homogeneous spaces. I Inventiones Mathematicae. ,vol. 69, pp. 437- 476 ,(1982) , 10.1007/BF01389364
Peter Trapa, Generalized Robinson-Schensted algorithms for real groups International Mathematics Research Notices. ,vol. 1999, pp. 803- 834 ,(1999) , 10.1155/S1073792899000410
Toshihiko Matsuki, Closure Relations for Orbits on Affine Symmetric Spaces under the Action of Minimal Parabolic Subgroups Representations of Lie Groups, Kyoto, Hiroshima, 1986. pp. 541- 559 ,(1988) , 10.1016/B978-0-12-525100-6.50024-2