西山享の論文を MathSciNet で探す

Research Papers of Kyo Nishiyama:

  1. Kyo Nishiyama and Chen-bo Zhu,
    Theta lifting of unitary lowest weight modules and their associated cycles.
    Duke Math. J., 125(2004), 415 -- 465.

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  2. Kyo Nishiyama, Hiroyuki Ochiai and Chen-bo Zhu,
    Theta lifting of nilpotent orbits for symmetric pairs.
    Trans. Amer. Math. Soc. 358 (2006), no. 6, 2713--2734.

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  3. Kyo Nishiyama,
    A note on affine quotients and equivariant double fibrations.
    Infinite dimensional harmonic analysis III, 197--212, World Sci. Publ., Hackensack, NJ, 2005.

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

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  5. 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.

  6. 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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  7. 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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  8. Kyo Nishiyama, Multiplicity-free actions and the geometry of nilpotent orbits. Math. Ann., 318 (2000), 777 -- 793.

  9. 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.

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

  11. 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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  12. 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.

  13. 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.

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

  15. 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.

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

    misprint がありました。詳しくは こちらを御覧下さい。

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

    平井先生の還暦献呈論文です。しかしタイトルの下に献呈の辞を入れるのを忘れ、Introduction の方に入っています。

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

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

  20. 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.

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

  22. 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.

  23. 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.

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

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

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

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

  28. 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.

    博士論文です。 MathReview には「なぜこのような作用を考えるのかはっきりしない」とまで書かれて酷評されていますが、特異な無限小指標の場合にちゃんと指標の次元（つまり既約表現の個数ですね）が Hecke 環の表現の言葉で書けるだけでもいいと自分では思っています。もちろん他にも応用はあるはずなのですが、自分自身取り組んでいないのは反省点。

  29. 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.

    これは論文ではないですね（しかし文部省むけの業績表にはちゃっかり入れてます）。別刷（他の人の Open Problems も含む）はたくさん余っています。請求して下さい。図書館には入っていないと思うんですが。

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

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

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

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

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

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

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Preprints of Kyo Nishiyama:

1. math.RT/0510033 [abs, ps, pdf, other] :
Title: Intersection of harmonics and Capelli identities for symmetric pairs
Authors: Soo Teck Lee, Kyo Nishiyama, Akihito Wachi
Comments: 20 pages
Subj-class: Representation Theory
MSC-class: 17B35; 22E46 16S32 15A15
 

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Notes and Proceedings of Kyo Nishiyama:

  1. 西山享, 零錐の特異点解消と余法束
    2006年度 表現論シンポジウム講演集 原稿 (19 pages)

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  2. 西山享, Spherical Nilpotent Orbits for Symmetric Pairs -- The case of $U(p, p)$ --
    数理解析研究所講究録 1245 「新世紀への表現論と調和解析」 (2002.1), 135 -- 146.

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  3. 表現論の方法と考え方 [名古屋大学 ('00/11) での集中講義ノート]

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  4. [Tue Oct 31 19:17:10 JST 2000]

    西山享, 巾零軌道とリー群の表現論
    [代数学シンポジウム (九州大学六本松キャンパス) August 9, 2000 における講演
    ``Theta lifting of representations and geometry of nilpotent orbits'' の報告]

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  5. 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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  6. 極小表現入門 [東大 ('98/12) での集中講義ノート]

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  7. 対称式と調和多項式に関する講義ノート[和歌山大学集中講義用]('98/1/5)

    目次/群とあそぼう（復習）/対称群の作用する空間/線型群のお話/対称式と調和多項式/多項式環上の対称群の表現 [計 50 ページ]

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  8. 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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  9. Reductive Dual Pair と Weil 表現 -- 一方が compact の場合 --
    '96 整数論サマースクール報告集用の原稿です。演習問題までつけました (^^;;
    学生の方を鍛えるのに使ってもらえば嬉しいです。

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  10. 半単純 Lie 群の standard 表現入門 -- $ Sp(2, \R) $ と $ SU(2, 2) $ を中心に --, 数理研講究録909所収.

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  11. 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. 不変式論への入門講義 : Lectures in Belgaum/Bangalore University in Karnataka, India

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

Index

教科書、入門書など [Textbooks, introductory books by KN]

  1. 西山享著 「よくわかる幾何学 −複素平面・初等幾何学・射影幾何学をめぐって−」 丸善 2004年2月29日発行 [ISBN 4-621-07370-2]

  2. 西山享著 「基礎課程 微分積分 I -- 1 変数の微積分 --」 サイエンス社、1998年12月10日初版発行 [ISBN4-7819-0894-2]

    ミスプリ情報

  3. 西山享著 「基礎課程 微分積分 II -- 多変数の微積分と微分方程式 --」 サイエンス社、1998年12月10日初版発行 [ISBN4-7819-0895-0]

  4. 西山享著「多項式のラプソディー」はじめよう数学2 日本評論社、1999年3月25日初版発行 [ISBN4-535-60841-5]

    落合さん＠九州大学による ミスプリ、間違い情報

  5. K. M. ヒール、M.L.ハンセン、K.M.リカード著／示野信一他訳「Maple V リリース5 ラーニングガイド」 シュプリンガー・フェアラーク東京、1998年9月25日発行 [ISBN4-431-70776-X] (共訳)

  6. D.コックス/J.リトル/D.オシー 著 落合啓之/示野信一/西山享/室政和/山本敦子 訳 「グレブナ基底と代数多様体入門(上) イデアル・多様体・アルゴリズム」 A5 407頁 価格(本体3,800+税) [ISBN 4-431-70823-5] (共訳)

    D.コックス/J.リトル/D.オシー 著 落合啓之/示野信一/西山享/室政和/山本敦子 訳 「グレブナ基底と代数多様体入門(下) イデアル・多様体・アルゴリズム」 A5 417頁 価格(本体3,800+税) [ISBN 4-431-70824-3] (共訳)

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