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.

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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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

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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]

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