Search MathSciNet by author = Kyo Nishiyama


Research Papers of Kyo Nishiyama:

  1. Kyo Nishiyama, Classification of spherical nilpotent orbits for U(p, p). J. Math. Kyoto Univ., 44 (2004), 203 -- 215.

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  2. Makoto Matsumoto, Kyo Nishiyama and Masamichi Yano, A Generator of H^1(M^1_g; H^1(\Sigma_g; Z)) and a Reflection Representation of the Mapping Class Groups via Iwahori-Hecke Algebras. Progress of Theoretical Physics Supplement No.144 (2002), 141--144.

  3. Kyo Nishiyama and Chen-bo Zhu, Theta lifting of holomorphic discrete series: the case of ${\rm U}(n,n)\times{\rm U}(p,q)$. Trans. Amer. Math. Soc. 353 (2001), no. 8, 3327--3345.

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  4. Kyo Nishiyama, Hiroyuki Ochiai, and Kenji Taniguchi, Bernstein degree and associated cycles of Harish-Chandra modules---Hermitian symmetric case. Nilpotent orbits, associated cycles and Whittaker models for highest weight representations. Ast\'erisque No. 273 (2001), 13--80.

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  5. Kyo Nishiyama, Multiplicity-free actions and the geometry of nilpotent orbits. Math. Ann., 318 (2000), 777 -- 793.

  6. Akihiko Gyoja, Kyo Nishiyama and Kenji Taniguchi, Invariants for Representations of Weyl Groups, Two-sided Cells, and Modular Representations of Iwahori-Hecke Algebras. Adv. Studies in Pure Math., 28 (2000), 103 -- 112.

  7. Akihiko Gyoja, Kyo Nishiyama and Kenji Taniguchi, Kawanaka invariants for representations of Weyl groups. J. Alg., 225 (2000), 842 - 871.

  8. Kyo Nishiyama, Theta lifting of two-step nilpotent orbits for the pair $ O(p, q) \times Sp(2n, \R) $. In H. Heyer, T. Hirai and N. Obata (eds.), ``Infinite Dimensional Harmonic Analysis'', Transactions of a Japanese-German Symposium held from September 20th to 24th, 1999 at Kyoto University, pp. 278 -- 289, Kyoto 1999.

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  9. Kyo Nishiyama and Hiroyuki Ochiai, Bernstein degree of singular unitary highest weight representations of the metaplectic group. Proc. Japan Acad., Ser. A, 75 (1999), 9 - 11.

  10. A. Gyoja, Kyo Nishiyama and H. Shimura. Invariants for representaions of Weyl groups and two-sided cells. J. Math. Soc. Japan, 51 (1999), 1 - 34.

  11. Kyo Nishiyama, Schur duality for Cartan type Lie algebra $ W_n $. Journal of Lie Theory, 9 (1999), 234 - 248.

  12. Zixin Hou, Shaoqiang Deng, Soji Kaneyuki and Kyo Nishiyama, Dipolarizations in semisimple Lie algebras and homogeneous parak\"{a}hler manifolds. Journal of Lie Theory, 9 (1999), 215 - 232.

  13. Kyo Nishiyama, Commutant algebra and harmonic polynomials of a Lie algebra of vector fields. J. Alg., 183(1996), 545 -- 559.

  14. Kyo Nishiyama and Haiquan Wang, Commutant algebra of Cartan-type Lie superalgebra $ W(n) $. J. Math. Kyoto Univ., 36(1996), 129 -- 142.

  15. Kyo Nishiyama and Haiquan Wang, Commutant algebra of superderivations on a Grassmann algebra. Proc. Japan Acad., 72 Ser. A (1996), 8 -- 11.

  16. Kyo Nishiyama, Super dual pairs and highest weight modules of orthosymplectic algebras. Adv. in Math., 104(1994), 66--89.

  17. Hirotoshi Furutsu and Kyo Nishiyama, Realization of irreducible unitary representations of $ {\frak osp}(M/N; {\Bbb R}) $ on Fock spaces. in Proceedings of Fuji-Kawaguchiko Conference on Representation Theory of Lie Groups and Lie Algebras, edited by T. ~Kawazoe et. al., pp1--21, World Scientific, 1992.

  18. Kyo Nishiyama, Distribution characters of a semisimple Lie group and representations of Weyl groups and their Hecke algebras. Sugaku Expositions, 5(1992), 15-33.

  19. Hirotoshi Furutsu and Kyo Nishiyama, Classification of irreducible super unitary representations of $ {\frak su}(p,q/n) $. Comm. in Math. Phys., 141(1991), 475--502.

  20. Kyo Nishiyama, Decomposing oscillator representations of $ {\frak osp}(2n/n; {\Bbb R}) $ by a super dual pair $ {\frak osp}(2/1; { \Bbb R}) \times {\frak so}(n) $. Comp. Math., 80(1991), 137--149.

  21. Kyo Nishiyama, Characters and super-characters of discrete series representations for orthosymplectic Lie superalgebras. J. Alg., 141(1991), 399--419.

  22. Kyo Nishiyama, Oscillator representations for orthosymplectic algebras. J. Alg., 129(1990), 231--262.

  23. Kyo Nishiyama, Algebraic structures on virtual characters of a semisimple Lie group. Adv. Stud. in Pure Math., 14(1988), 417--468.

  24. Kyo Nishiyama, Generators and relations for a certain Hecke algebra. Research Activities, Faculty Sci. Engineering, Tokyo Denki Univ., 8--9(1987), 9--14.

  25. Kyo Nishiyama, Representations of Weyl groups and their Hecke algebras on virtual character modules of a semisimple Lie group (Th\ `ese). J. Math. Kyoto Univ., 27(1987), 151--181.

  26. Kyo Nishiyama, Open problems on character polynomials and Gelfand-Kirillov dimensions of virtual characters. In Open problems in representation theory of Lie groups, Proceedings of the conference on ``Analysis on homogeneous spaces" held at Katata, 1986.

  27. Kyo Nishiyama, Virtual characters and constant coefficient invariant eigendistributions on a semisimple Lie group. Japan. J. Math., New Series, 12(1986), 75--94.

  28. Kyo Nishiyama, Representations of Hecke algebras on virtual character modules of a semisimple Lie group. Proc. Japan Acad., 62(1986), 159--162.

  29. Kyo Nishiyama, Virtual characters and constant coefficient invariant eigendistributions on a semisimple Lie group. Proc Japan Acad., 61(1985), 168--171.

  30. Kyo Nishiyama, Virtual character modules of semisimple Lie groups and representations of Weyl groups. J. Math. Soc. Japan, 37(1985), 719--740.

  31. Kyo Nishiyama, Representations of Weyl group and its subgroups on the virtual character modules. Proc. Japan Acad., 60(1984), 193--196.

  32. Kyo Nishiyama, Decompositions of tensor products of infinite and finite dimensional representations of semisimple groups. J. Math. Kyoto Univ., 25(1985), 1--20.

Index


Preprints of Kyo Nishiyama:

  1. Kyo Nishiyama and Chen-bo Zhu,
    Theta lifting of unitary lowest weight modules and their associated cycles.
    To appear in Duke Math. J.

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  2. Kyo Nishiyama, Hiroyuki Ochiai and Chen-bo Zhu,
    Theta lifting of nilpotent orbits for symmetric pairs.
    Preprint, 26 pages. (To appear in Trans. AMS.)

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  3. NEW!! [Fri Apr 2 13:26:47 JST 2004]
    Kyo Nishiyama,
    A note on affine quotients and equivariant double fibrations.
    Preprint, 14 pages. (To appear in "Infinite Dimensional Harmonic Analysis" (ed. H.Heyer, B.Kummerer, T.Hirai, T.Kawazoe and K.Saito), World Scientific.)

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Index


Notes of Kyo Nishiyama:

  1. Kyo Nishiyama and Chen-Bo Zhu,
    Theta lifting of the trivial representation and the associated nilpotent orbit --- the case of $ U(p, q) \times U(n, n) $ ---.
    [A note for ``Proceedings of Symposium on Representation Theory 1999'' in Tateyama, Chiba]

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  2. Restriction of the irreducible representations of $ GL_n $ to the symmetric group $ \lie{S}_n $.

    It is well-known that the 0-weight space of the irreducible representation of $ GL_n $ with highest weight of size $ n $ is irreducible for $ {\frak S}_n $. This note is a generalization of such kind of phenominon. A relation to the plethysm is also dicussed.

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  3. Cells in Weyl group, notes for Tottori Workshop, Jan. 1996.

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OHP slides

Do not trust so much. These slides contain many mistakes... Sorry for inconvenience.
  1. Lectures in Belgaum/Bangalore University in Karnataka, India

    Bangalore : ; Belgaum 1 : ; Belgaum 2 : ; [ ]

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Textbooks, introductory books (in Japanese)

  1. Kyo Nishiyama, Elementary Calculus I, Sience-Sha, 1998 [ISBN4-7819-0894-2]

  2. Kyo Nishiyama, Elementary Calculus II, Sience-Sha, 1998 [ISBN4-7819-0895-0]

  3. Kyo Nishiyama, Rhapsody in Polynomials, Nihon-Hyoron-Sha, 1999 [ISBN4-535-60841-5]

Index


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