Orbits in the flag variety and images of the moment map for U(p, q)

Proceedings of the Japan Academy Series A: Mathematical Sciences

Volumn 72, Issue 6, 1996, Pages 114-117

  Yamamoto, Atsuko ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33747293227     PISSN: 03862194     EISSN: None     Source Type: Journal    
DOI: 10.3792/pjaa.72.114     Document Type: Article

References (9)

1. W. Borho and J. Brylinski: Differential operators on homogeneous spaces. III. Invent. Math., 80, 1-68 (1985).
2. D. Collingwood and W. McGovern : Nilpotent orbits in semisimple Lie algebras. Van Nostrand Reinhold, New York (1993).
3. n-1 groups. Amer. J. Math., 115, 305-369 (1993).
4. T. Matsuki: The orbits of affine symmetric spaces under the action of minimal parabolic subgroups. J. Math. Soc. Japan, 31, 331-357 (1979).
5. T. Matsuki and T. Oshima: Embeddings of discrete series into principal series. The orbit Method in Representation theory. Progress in Math., Bikhäuser, 82, 147-175 (1988).
6. T. Oshima: Asymptotic behavior of spherical functions on semisimple symmetric spaces. Advanced Studies in Pure Math., 14, 561-610 (1988).
7. D. Vogan: Irreducible characters of semisimple Lie groups III. Invent. Math., 71, 381-417 (1983).
8. A. Yamamoto: Leading exponents of matrix coefficients of Harish-Chandra module and Matsuki-Oshima diagram. Master thesis, Univ. of Tokyo, Japan (1993).
9. A. Yamamoto: GL(p, C) × GL(q, C)-orbits on the flag variety of GL(p + q, C) and the image of the moment map. Master thesis, Univ. of Tokyo, Japan (1993) (in Japanese).