1. MathSciNet: Kyo Nishiyama
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3. Google Scholars: Profile ; Kyo Nishiyama ; 西山享
4. 数理解析研究所 講究録 RIMS Kokyuroku: Kyo Nishiyama (Lecture Note Series of RIMS)

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1. Kieran Calvert, Kyo Nishiyama, Pavle Pandžić, Clifford algebras, symmetric spaces and cohomology rings of Grassmannians. https://doi.org/10.48550/arXiv.2310.04839 /  arXiv:2310.04839 [pdf]

2. Lucas Fresse and Kyo Nishiyama, Overview on the theory of double flag varieties for symmetric pairs. https://doi.org/10.48550/arXiv.2309.17085 /  arXiv:2309.17085 [pdf]

3. Lucas Fresse and Kyo Nishiyama, Action of Hecke algebra on the double flag variety of type AIII. Advances in Applied Mathematics, Volume 153, February 2024, 102614. https://doi.org/10.1016/j.aam.2023.102614 /  arXiv:2206.10476 [pdf, other]

4. Lucas Fresse and Kyo Nishiyama. On generalized Steinberg theory for type AIII. Algebraic Combinatorics, Volume 6 (2023) no. 1, pp. 165-195. https://doi.org/10.5802/alco.245 /  arXiv:2103.08460 [pdf, other]

5. Lucas Fresse and Kyo Nishiyama. Orbit embedding for double flag varieties and Steinberg maps. in AMS Contemporary Mathematics, ``Lie Groups, Number Theory, and Vertex Algebras'', Volume 768, 2021, pp.21--42. https://doi.org/10.1090/conm/768/15451 /  arXiv:2009.026986 [pdf, other]

6. Lucas Fresse, Kyo Nishiyama. A Generalization of Steinberg Theory and an Exotic Moment Map. International Mathematics Research Notices, 2020, rnaa080. https://doi.org/10.1093/imrn/rnaa080 /  arXiv:1904.13156 [pdf, other]

7. Kyo Nishiyama and Takuya Ohta, Enhanced adjoint action and their orbits for the general linear group. Pacific Journal of Mathematics, 298(2019), 141--155. /  arXiv:1703.08641 [pdf, ps, other]

8. Kyo Nishiyama, Bent Ørsted and Akihito Wachi. Enhanced zeta distributions and its functional equations. Journal of Physics: Conference Series. Vol. 1194. No. 1. IOP Publishing, 2019. /  arXiv:1905.01597 [pdf, other]

9. Kyo Nishiyama and Bent Ørsted, Real double flag varieties for the symplectic group. Journal of Functional Analysis, Volume 274, Issue 2, 15 January 2018, Pages 573-604. /  arXiv:1703.06852 [pdf, ps, other]

10. Lucas Fresse and Kyo Nishiyama. On the exotic Grassmannian and its nilpotent variety. Represent. Theory 20 (2016), 451--481. /  arXiv:1603.06636 [pdf, ps, other]

11. Kyo Nishiyama, Peter Trapa and Akihito Wachi. Codimension one connectedness of the graph of associated varieties. Tohoku Math. J. (2) 68 (2016), no. 2, 199--239. /  arXiv:1403.7982 [pdf, ps, other]

12. Kyo Nishiyama. Enhanced orbit embedding. Comment. Math. Univ. St. Pauli 63 (2014), no. 1-2, 223--232. Open Access /  arXiv:1410.2336 [pdf, ps, other]

13. Kensuke Kondo, Kyo Nishiyama, Hiroyuki Ochiai and Kenji Taniguchi, Closed orbits on partial flag varieties and double flag variety of finite type. Kyushu J. Math. 68 (2014), no.1, 113-119. /  arXiv:1204.1118 [pdf, other]

14. Xuhua He, Kyo Nishiyama, Hiroyuki Ochiai and Yoshiki Oshima, On orbits in double flag varieties for symmetric pairs. Transformation Groups, 18 (2013), No. 4, pp. 1091-1136. /  arXiv:1208.2084 [pdf, other]

15. Dan Ciubotaru, Kyo Nishiyama and Peter Trapa, Regular orbits of symmetric subgroups on partial flag varieties. in "Representation Theory, Complex Analysis, and Integral Geometry" (Ed. by B. Kr"otz, O. Offen and E. Sayag), pp. 61-86. Birkhauser, Boston, 2012. /  arXiv:0903.1039 [pdf, other]

16. Kyo Nishiyama, Asymptotic cone of semisimple orbits for symmetric pairs. Adv. Math., 226 (2011), pp. 4338-4351. /  arXiv:1012.3219 [pdf, other]

17. Kyo Nishiyama and Hiroyuki Ochiai, Double Flag Varieties for a Symmetric Pair and Finiteness of Orbits. Journal of Lie Theory, 21 (2011), No. 1, 079-099. /  arXiv:1009.5279 [pdf, other]

18. Kyo Nishiyama, A study of asymptotic cones and degenerate principal series. RIMS K^oky^uroku Bessatsu, B20 (2010), 1-20. (in Japanese) /  [ PDF ]

19. Kyo Nishiyama, Resolution of null fiber and conormal bundles on the Lagragian Grassmannian. Geometriae Dedicata, 143(2009), no. 1, 19-35. /  arXiv:math/0701764 [pdf, other]

20. Kyo Nishiyama and Akihito Wachi, A note on the Capelli identities for symmetric pairs of Hermitian type. in Proceedings of "Infinite Dimensional Harmonic Analysis IV" edited by Joachim Hilgert et al., pp. 223-254, World Scientific, 2009. /  arXiv:0808.0607 [pdf, other]

21. Soo Teck Lee, Kyo Nishiyama and Akihito Wachi, Intersection of harmonics and Capelli identities for symmetric pairs. J. Math. Soc. Japan, 60(2008), No. 4, 955-982. /  arXiv:math/0510033 [pdf, other]

22. 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. [ PDF file : ]

23. Kyo Nishiyama, "A note on affine quotients and equivariant double fibrations". Infinite dimensional harmonic analysis III, 197--212, World Sci. Publ., Hackensack, NJ, 2005. [ PDF file : ; ]

24. Kyo Nishiyama and Chen-bo Zhu, "Theta lifting of unitary lowest weight modules and their associated cycles". Duke Math. J., 125(2004), 415 -- 465. [ PDF file ; ]

25. Kyo Nishiyama, Classification of spherical nilpotent orbits for U(p, p). J. Math. Kyoto Univ., 44 (2004), 203 -- 215. [ PDF file : ; ]

26. 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.

27. 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. [ PDF file : ; ]

28. 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. [ PDF file : ; ]

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

30. 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. Open Acess

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

32. 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. [ PDF file : ; ]

33. 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.

34. 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.

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

36. 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.

37. 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．
    

38. 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．

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

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

41. 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. /  arXiv:2206.02378 [pdf, other]

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

43. 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.

44. 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.

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

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

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

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

49. 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．

50. 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．

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

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

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

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

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

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

目次に戻る

1. Iwao, Shinsuke, Kyo Nishiyama, and Noboru Ogawa. "The totally nonnegative part of the finite Toda lattice via a reducible rational curve." arXiv preprint arXiv:1607.07165 (2016).
   arXiv:1607.07165 [pdf, ps, other]

目次に戻る

1. 西山享「ヤング図形の組合せ論講義」（2020年度青山学院大学理学研究科講義録） [ pdf file ]
   [2022/08/17 18:03:34 JST]

2. 太田琢也・西山享, Enhanced Adjoint Action and its Quotients
   数理解析研究所講究録 「表現論と組合せ論」 [ PDF file : ; ]

3. 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) [ PDF file : ; ]

4. 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. [ PDF file : ; ]

5. 表現論の方法と考え方 （名古屋大学 (2000/11) 集中講義ノート） [ PDF file : ; ]

6. 西山享, 巾零軌道とリー群の表現論 ``Theta lifting of representations and geometry of nilpotent orbits''
   （代数学シンポジウム講演 (九州大学六本松キャンパス) August 9, 2000） [ PDF file : ; ] [Tue Oct 31 19:17:10 JST 2000]

7. 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) $ ---. ``Proceedings of Symposium on Representation Theory 1999'' in Tateyama, Chiba. [ PDF file : ; ]

8. 極小表現入門 （東大 (1998/12) 集中講義ノート） [ PDF file : ; ]

9. 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(1998/1/5)） [ PDF file : ; ]

   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]

10. Restriction of the irreducible representations of $ GL_n $ to the symmetric group $ \lie{S}_n $. [ PDF file : ; ]

    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.

11. Reductive Dual Pair と Weil 表現 -- 一方が compact の場合 -- [ PDF file : ; ]

    '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．

12. 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. [ PDF file : ; ]
13. Cells in Weyl group, notes for Tottori Workshop, Jan. 1996. [ PDF file : ; ]

目次に戻る

1. 2023年度学問入門講座スライド：
   フリーズの数学     [ 2023/03/01 17:06:48 JST ]

2. Slides for "Representations and Characters: Revisiting the Works of Harish-Chandra and André Weil" 01 Jul 2022 –- 15 Jul 2022, IMS, Singapore
   Action of Hecke algebra on the double flag variety of type AIII     [ 2022/07/14 23:12:19 JST ]

3. Slides for "Dirac operators in representation theory", June 18-22, 2018, in Zagreb
   There was a serious mistake in the former version!! Replace it by the new version below.
   Functional equation of an enhanced zeta distribution — the case of positive symmetric cone [ ]

4. 2010 南開大学夏 の学校の講演用スライド

   1. Lecture 1 slides: Steinberg variety and moment maps over multiple flag varieties I
   2. Lecture 2 slides: Steinberg variety and moment maps over multiple flag varieties II ---joint work with Hiroyuki Ochiai

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

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

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