Research Articles

  1. (with Akihito Wachi) Isotropy representations for singular unitary highest weight modules (tentative) , in preparation.
  2. Isotropy representation for Harish-Chandra module, to appear in ``Infinite Dimensional Harmonic Analysis 2003 (H. Heyer, T. Hirai, T. Kawazoe, B. Kuemmerer and K. Saito Eds.)", Proceedingss of Japanese-German Symposium held from September 14th to 21st, 2003 at T\"uebingen University, 27 pages.
  3. Isotropy representation and projection to the PRV-component, RIMS Ko^kyu^roku, 1296 (2002), 62--71.
  4. Isotropy representations attached to the associated cycles of Harish-Chandra modules, RIMS Ko^kyu^roku, 1238 (2001), 233--247.
  5. Cayley transform and generalized Whittaker models for irreducible highest weight modules, in : "Nilpotent orbits, associated cycles and Whittaker models for highest weight representations", Ast\'erisque, 273 (2001), pp. 81--137. ( Abstract in Japanese)
  6. Associated cycles of Harish-Chandra modules and defferential operators of gradient type, RIMS Ko^kyu^roku, 1183 (2001), 157--167. (Abstract)
  7. The n-homology for the Borel-de Siebenthal discrete series representations of simple Lie groups, in preparation.(Abstract in Japanese)
  8. Two dual pair methods in the study of generalized Whittaker models for irreducible highest weight modules , in : ``Infinite Dimensional Harmonic Analysis (H. Heyer, T. Hirai and N. Obata Eds.)",Transactions of Japanese-German Symposium held from September 20th to 24th, 1999 at Kyoto University, pp. 373--387, Gr\"abner, Altendorf, 2000.
  9. Generalized Whittaker models and n-homology for some small irreducible representations of simple Lie groups , RIMS Ko^kyu^roku, 1124 (2000), 86--105.
  10. Associated variety, Kostant-Sekiguchi correspondence and locally free U(n)-action on Harish-Chandra modules (with Akihiko Gyoja), J. Math. Soc. Japan, 51 (1999), 129--149. ( Abstract in Japanese )
  11. Description of the associated varieties for the discrete series representations of a semisimple Lie group, Comment. Math. Univ. St. Pauli, 47 (1988), 35 -- 52.
  12. Embeddings of discrete series into principal series for an exceptional simple Lie group of type G_2 (with Tetsumi Yoshinaga), J. Math. Kyoto Univ., 36 (1996), 557 -- 595.
  13. The embeddings of discrete series into principal series for an exceptional real simple Lie group of type G_2 (with Tetsumi Yoshinaga), Proc. Japan. Acad., 72A (1996), 78-81.
  14. Criteria for the finiteness of restriction of U(g)-modules to subalgebras and applications to Harish-Chandra modules: a study in relation to the associated varieties, J. Funct. Anal., 121 (1994), 296-329.
  15. Associated varieties and Gelfand-Kirillov dimensions for the discrete series of a semisimple Lie group, Proc. Japan Acad., 70A (1994), 50-55.
  16. Some aspects of representations and algebraic geometry of Lie algebras, RIMS Ko^kyu^roku, 816 (1992), 1--21.
  17. Criteria for the finiteness of restriction of U(g)-modules to subalgebras and applications to Harish-Chandra modules, Proc. Japan Acad., 68A (1992), 316-321.
  18. Generalized Gelfand-Graev representations of semisimple Lie groups: finite multiplicity theorems and Whittaker models, Suugaku Expositions, American Math. Soc., 4 (1991), 139-156.
  19. Embeddings of discrete series into induced representations of semisimple Lie groups, II: Generalized Whittaker models for SU(2,2), J. Math. Kyoto Univ., 31 (1991), 543-571.
  20. Embeddings of discrete series into induced representations of semisimple Lie groups, I: General theory and the case of SU(2,2), Japan. J. Math., 16 (1990), 31-95.
  21. Highest weight vectors for the principal series of semisimple Lie groups and embeddings of highest weight modules, J. Math. Kyoto Univ., 29 (1989), 165-173.
  22. Multiplicity one theorems for generalized Gelfand-Graev representations of semisimple Lie groups and Whittaker models for the discrete series, Advanced Studies in Pure Math., 14 (1988), pp.31-121.
  23. Finite multiplicity theorems for induced representations of semisimple Lie groups II: Applications to generalized Gelfand-Graev representations, J. Math. Kyoto Univ., 28 (1988), 383-444. (Doctor Thesis, Dr.Sci.)
  24. Finite multiplicity theorems for induced representations of semisimple Lie groups I, J. Math. Kyoto Univ., 28 (1988), 173-211.
  25. Whittaker models for highest weight representations of semisimple Lie groups and embeddings into the principal series, Proc. Japan Acad., 63A (1987), 194-197.
  26. Finite multiplicity theorems for induced representations of semisimple Lie groups and their applications to generalized Gelfand-Graev representations, Proc. Japan Acad., 63A (1987), 153-156.
  27. On Whittaker vectors for generalized Gelfand-Graev representations of semisimple Lie groups, J. Math. Kyoto Univ., 26 (1986), 263-298.
  28. On Whittaker vectors for generalized Gelfand-Graev representations of semisimple Lie groups, Proc. Japan Acad., 61A (1985), 213-216.

Books

  1. Lie algebras and Representation Theory, pp. i-ix and 1-157, to appear. (In Japanese)
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