List of preprints/recent papers/notes. We appreciate private notes, e.g., tables of decomposition of representations, smart proof of well-known facts, introduction to references.

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1. NEW!! [Wed Oct 29 18:46:49 JST 2003]
   Hisayosi Matumoto,
   The homomorphisms between scalar generalized Verma modules associated to maximal parabolic subalgebras. 34 pages.

2. [Tue Jul 29 17:48:32 JST 2003]
   Hung-Yean Loke,
   Analytic continuation of the Gelfand-Zetlin bases. 20 pages.

3. [Tue Jul 29 17:49:14 JST 2003]
   Kai, Chifune and Nomura, Takaaki,
   A characterization of symmetric cones through pseudoinverse maps. 20 pages.

4. [Mon Apr 7 13:07:35 JST 2003]
   Hisayosi Matumoto,
   The edge-of-wedge type embeddings of derived functor modules for the type A classical groups. 22 pages.

5. [Wed Jul 17 10:16:43 JST 2002]
   Kyo Nishiyama,
   Classification of spherical nilpotent orbits for U(p, p). Preprint, 13 pages.
   [ PDF ] / [ DVI ] / [ PS ] / [ Updated: ]

6. [Wed Jul 3 16:25:29 JST 2002]
   Kaoru Hiragha,
   On functoriality of Zelevinski involutions, preprint 43 pages.

7. [Wed May 29 10:02:09 JST 2002]
   Kyo Nishiyama and Chen-bo Zhu,
   Theta lifting of nilpotent orbits for symmetric pairs. Preprint, 24 pages.
   [ PDF ] / [ DVI ] / [ PS ]

   A long version is also available:
   [ PDF ] / [ DVI ] / [ PS ] / [ Updated : ]

8. [Tue Apr 23 18:02:08 JST 2002]
   Chen-bo Zhu,
   Representations with scalar K-types and applications, to appear in "Israel Jour. Math."
   [ PDF file ]

9. [Thu Dec 13 11:47:15 JST 2001]
   Takuya Ohta,
   Nilpotent orbits of $ Z_4 $-graded Lie algebra and geometry of moment maps associated to the dual pair $ ( U(p, q) , U(r, s) ) $. 37 pages.

10. [Thu Dec 13 11:47:15 JST 2001]
    Hung-Yean Loke,
    Howe quotients of unitary characters and unitary lowest weight modules.
    [ PDF file ]

11. [Thu Dec 13 11:38:43 JST 2001]

    • S. Gindikin and B. Kroetz: Invariant Stein domains in Stein symmetric spaces and a non-linear complex convexity theorem, MSRI 01-32
    • S. Gindikin and B. Kroetz: Complex crowns of Riemannian symmetric spaces and non-compactly causal symmetric spaces, MSRI 01-38
    • S. Gindikin, B. Kroetz and G. Olafsson: Hardy spaces for non-compactly causal symmetric spaces and the most continuous spectrum, MSRI 01-43.
    • R.W.Donley, Jr: A cocycle formula for the quaternionic discrete series. 10pages.
    • A. Dvorsky and S. Sahi: Explicit Hilbert spaces for certain unipotent representations III, 25pages.
    • Y. A. Neretin: Hua type integrals over unitary groups and over projective limits of unitary groups, 20pages.

12. [Thu Dec 13 11:47:15 JST 2001]
    T. Oshima,
    Annihilators of generalized Verma modules of the scalar type for classical Lie algebras, UTMS 01-29.

13. [Thu Dec 13 11:47:15 JST 2001]
    T. Kobayashi and B. Orsted,
    Analysis on the minimal representation of O(p,q), I, II, III.
    Zipped dvi files [ ]

14. [Tue Sep 25 18:01:12 JST 2001]
    Simon Gindikin and Toshihiko Matsuki,
    Stein extensions of Riemann symmetric spaces and dualities of orbits on flag manifolds, MSRI preprint #2001-028.

15. [Wed Jul 11 14:39:39 JST 2001]
    H.-Y. Loke,
    On the associated cycles and the restrictions of quarternionic representations. 14 pages.

16. [Tue May 8 17:47:51 JST 2001]
    J.S. Huang,
    Invariant differential operators and eigenspace representations on an affine symmetric space, 32 pages.
    
    J.S. Huang and P. Pandzic,
    Dirac cohomology, unitary representations and a proof of a conjecture of Vogan, 20 pages.

17. [Fri Apr 13 11:21:39 JST 2001]
    A. W. Knapp ,
    "Branching theorems for compact symmetric spaces" (March 2001).
    [ PostScript file ] (1983 KB)

18. [Fri Dec 8 18:22:03 JST 2000]
    J.-S. Li , A. Paul , E.-C. Tan and C.-B. Zhu ,
    The explicit duality correspondence of ( Sp(p, q), O^*(2 n) ). Preprint, 23 pages.
    
    J.-S. Li , E.-C. Tan and C.-B. Zhu ,
    Tensor product of degenerate principal series and local theta correspondence. Preprint, 43 pages.
    
    R. Howe and C.-B. Zhu ,
    Eigendistributions for orthogonal groups and representations of symplectic groups. Preprint, 30 pages.
    
    S. T. Lee and H. Y. Loke ,
    Degenerate principal series representations of U(p, q) and Spin_0(p, q).
    NUS Research Report No. 775, July 2000. (37 pages.)

19. [2000-11-26]
    Kyo Nishiyama, Hiroyuki Ochiai, Kenji Taniguchi, Hiroshi Yamashita, and Shohei Kato,
    Nilpotent orbits, associated cycles and Whittaker models for highest weight representations.
    To appear in Asterisque.
    
    

    The volume under the title above contains:
    3 articles (NOT, Y, KO), introduction to the volume, and concluding remarks.
    Full Volume: PDF File [ ]
    To downroad each article (dvi, ps, pdf), click here.

    1. Introduction
    2. NOT: Nishiyama, Ochiai and Taniguchi,
       Bernstein degree and associated cycles of Harish-Chandra modules --- Hermitian symmetric case ---, 70 pages.
    3. Y: Yamashita,
       Cayley transform and generalized Whittaker models for irreducible highest weight modules, 55 pages.
    4. KO: Kato and Ochiai,
       Shohei Kato and Hiroyuki Ochiai, The degrees of orbits of the multiplicity-free actions, 19 pages.
    5. Concluding remarks

    
    
20. [Tue Aug 29 14:23:55 JST 2000]

    Takuya Konno,
    A survey on the Arthur-Selberg trace formula,
    48 pages, based on the talk at the RIMS Workshop on 29 June, 2000.

21. [Tue Apr 25 17:04:02 JST 2000]

    Kyo Nishiyama and Chen-bo Zhu,
    Theta lifting of holomorphic discrete series. The case of $ U(p, q) \times U(n, n) $.
    Preprint 20 pages.

    PDF file : ; Post Script file : ; TeX dvi file : ; [ ]

22. [Fri Apr 14 12:11:56 JST 2000]

    Peter E. Trapa ,
    Annihilators, associated varieties, and the theta correspondence.
    (Original version posted 21 November 1999; revised 4 April 2000.)

23. [Thu Feb 10 17:52:33 JST 2000]

    Takeshi Hirai, Hiroaki Shimomura, Nobuhiko Tatsuuma and Estuko Hirai,
    Inductive limits of topologies, their direct products, and problems related to algebraic structures.
    Kyoto University Preprint Series, Kyoto-Math 2000-01 (40 pages).

24. [Thu Feb 3 16:21:00 JST 2000]

    Kyo Nishiyama,
    Multiplicity-free actions and the geometry of nilpotent orbits.
    Preprint 16 pages.

    Post Script file : ; TeX dvi file : ; [ ]

25. [Fri Oct 15 11:56:22 JST 1999]

    D.\v{Z}. Djokovi\'{c}, J. Sekiguchi, and N. Lemire,
    The closure ordering of adjoint nilpotent orbits in so(p, q)
    (Preprint 48 pages.)

26. [Tue Aug 31 18:18:15 JST 1999]

    Shimeno,N.: Boundary values of the Eisenstein series on SL(2,Z)\SL(2,R) (preprint, Aug 1999)
    [AMS-LaTeX, 10 pages : dvi / pdf ]

    Shimeno,N.: An analogue of Hardy's theorem for the Heckman-Opdam transform (preprint, Jul 1999)
    [AMS-LaTeX, 6 pages : dvi / pdf ]

27. [Thu Aug 5 11:53:33 JST 1999]

    Hung Yean LOKE,
    Restrictions of quoternionic representations,
    preprint28 pages.

    Jing-Song HUANG and Jian-Shu LI,
    Unipotent representations attached to spherical nilpotent orbits,
    preprint 21 pages.

    Jian-Shu LI,
    Minimal representations and reductive dual pairs,
    preprint 48 pages.

28. Kyo Nishiyama, Hiroyuki Ochiai, and Kenji Taniguchi,
    Bernstein degree and associated cycles of Harish-Chandra modules -- Hermitian symmetric case --.
    Preprint 69 pages. [Mon Jun 14 10:45:54 JST 1999]

    We have found many errors in the previous version.
    Please download the newest one. The present version is Ver. 1.42.

    Post Script file : ; TeX dvi file : ; [ ]

29. R. Brylinski and B. Kostant,
    Geometric quantization and holomorphic half-form models of unitary minimal representations I.
    Preprint 34 pages.

    R. Brylinski and B. Kostant,
    Transverse polarizations of minimal nilpotent orbits and geometric quantization.
    Preprint 59 pages.

30. A. G. Helminck, J. Hilgert, A. Neumann and G. \'{O}laffson,
    A conjugacy theorem for symmetric spces.
    Preprint 5 pages.

    TeX dvi file : ; [ ]

    W. Bertram and J. Hilgert
    Hardy spaces and analytic continuation of Bergman spaces.
    Preprint 31 pages.

    TeX dvi file : ; [ ]

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1. RIMS Workshop: "Automorphic forms and reprsentations of algebraic groups over local fields"
   (January 20-24, 2003 at RIMS, organized by Hiroshi Saito (Kyoto Univ.) and Tetsuya Takahashi (Osaka Prefecture Univ.)) [Mon Apr 7 12:00:45 JST 2003]

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1. Kyo Nishiyama,
   Restriction of the irreducible representation of $ GL_n $ to the symmetric group $ {\frak 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.

   PDF file : ; Post Script file : ; TeX dvi file : ; [ ]

2. Kyo Nishiyama,
   Cells in Weyl group, notes for Tottori Workshop, Jan. 1996.

   PDF file : ; Post Script file : ; TeX dvi file : ; [ ]

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1. Kyoto University:
   Takeshi Hirai , Kyo Nishiyama , Toshihiko Matsuki ,

2. University of Tokyo :
   Toshiyuki Kobayashi , Toshio Oshima

3. National University of Singapore :
   Helmer Aslaksen , Lee Soo Teck , Eng Chye Tan , Zhu ChengBo

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

   There are several misprints/erros in the above paper.

   • p558 Table II, deg=6: Dimension 9 is correct. However, one of typical types is missing.
   • p557 Example 5.1 m=4: The total dimension is 65 instead of 64, which is wrong.
   • Definition 5.5: "1 \geq 0" must be replaced by "i \geq 0".
   The following is the corrected new version. There is also a complete table of harmonic polynomial of Cartan type (HPC).

   Post Script file	TeX dvi file
   Newest version of the paper :	Newest version of the paper :
   Table of HPC :	Table of HPC :

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