Publications by Toshiaki SHOJI


  1. On the conjugacy classes of Chevalley groups of type $F_4$, ${}^2F_4$, $E_6$ (in Japanese). in the proceedings of the 19th workshop on Algebra session. 1973ˇËp.74 -- 83, (with K. Shinoda, K. Mizuno).

  2. The conjugacy classes of Chevalley groups of type F_4 over finite fields of characteristic p \ne 2. J. Fac. Sci. Univ. of Tokyo, IA, 21 (1974) 1 - 17.

  3. On the Springer representations of the Weyl groups of classical algebraic groups. Comm. in Algebra, 7 (1979), 1713 - 1745, correction: 7 (1979), 2027 - 2033.

  4. On the Springer representations of Chevalley groups (in Japanese). RIMS Kokyuroku 344, Finite group theory (1979), 123 - 140.

  5. Irreducible representatins of finite Chevalley groups (in Japanese). In the proceedings of the 25th Symposium on Algebra (1979), 150 - 169.

  6. On the Springer representations of Chevalley groups of type F_4. Comm. in Algebra, 8 (1980), 409 - 440.

  7. On the Green polynomials of Chevalley groups of type $F_4$. Comm. in Algebra, 10 (1982), 503 - 543.

  8. Green polynomials of finite Chevalley groups (in Japanese). RIMS Kokyuroku 475, Finite group theory (1982), 123 - 139.

  9. On the Green polynomials of classical groups. Inventiones Math., 74 (1983), 239 - 267.

  10. Open problems in algebraic groups, Proceedings of the 12th International Symposium, Taniguchi Foundation, Katata 1983, p.18.

  11. Some generalization of Asai's result for classical groups. In algebraic groups and related topics, Advanced Studies in Pure Math., Vol. 6, Kinokuniya, Tokyo and North Holland, Amsterdam, (1985), 207 - 229.

  12. Green functions and related topics (in Japanese). In the proceedings of the 31st Symposium on Algebra (1985), 131 - 168.

  13. Shintani descent for exceptional groups over a finite field. Proceedings of Symposia in Pure Math., A.M.S. 47, Vol 2, (1987) 297 - 303.

  14. Green functions of reductive groups over a finite field. Proceedings of Symposia in Pure Math., A.M.S. 47, Vol 1, (1987) 289 - 301.

  15. Shintani descent for exceptional groups over a finite field. J. Fac. Sci. Univ. of Tokyo, IA, 34 (1987), 599 - 653.

  16. Shintani descent for finite algebraic groups (in Japanese). RIMS Kokyuroku 630, Group theory and algebraic combinatorail theory (1987), 117 - 131.

  17. Geometry of orbits and Springer correspondence. Ast\'erisque 168 (1988), 61 - 140.

  18. On flag varieties, hyperplane complements and Springer representations of Weyl groups. J. Australian Math. Soc. 49 Series A (1990), 449 - 485, (with G.I. Lehrer).

  19. Springer representations of Weyl groups and cohomologies of hyperplane complements (in Japanese). RIMS Kokyuroku 735, Research on combinatorial theory and related topics (1990), 140 - 156.

  20. Shintani descent for algebraic groups over a finite field, I. J. Algebra 145 (1992), 468 - 524.

  21. Character sheaves and almost characters of finite Chevalley groups (in Japanese). RIMS Kokyuroku 794, Group theory and combinatorial mathematics (1992), 105 - 116.

  22. Character sheaves and almost characters of reductive groups. Adv. in Math. 111 (1995), 244 - 313.

  23. Character sheaves and almost characters of reductive groups, II. Adv. in Math. 111 (1995), 314 - 354.

  24. Irreducible characters of finite Chevalley groups (in Japanese). Sugaku 47 (1995), 241 - 255.

  25. On the computation of unipotent characters of finite classical groups. Special issue, Computational methods in Lie theory. Applicable Algebra in Engineering, Communication and Computing 7 (1996), 165 - 174.

  26. Represnetation theory of finite Chevalley groups (in Japanese). Surikagaku, a special issue / Revival of group theory, No. 397, July (1996), 53 - 59.

  27. A norm map for endomorphism algebras of Gelfand-Graev representaton. In `` finite reductive groups: related structures and representations,'' Proceedings of an international conference held in Luminy, Progress in Math. Vol. 141 (1997), 185 - 194, (with C.W. Curtis).

  28. Unipotent characters of finite classical groups. In `` finite reductive groups: related structures and representations,'' Proceedings of an international conference held in Luminy, Progress in Math. Vol 141 (1997), 373 - 413.

  29. Shintani descent for special linear groups (in Japanese). RIMS Kokyuroku 991, Group theory and combinatrial mathematics (1997), 68 - 79.

  30. Shintani descent for special linear groups. J. Algebra 199 (1998), 175 - 228.

  31. Quadratic equations over finite fields and class numbers of real quadratic fields. Monatshefte f\"ur Mathematik 125 (1998), 279--292. (with T. Agoh).

  32. Averages of Green functions of classical groups, J. Math. Sci. Univ. Tokyo, 5 (1998), 165 - 220 (with B. Srinivasan).

  33. Irreducible characters of finite Chevalley groups, Sugaku expositions, 11 (1998) 19 -- 37.

  34. Length functions and Demazure operators for $G(e,1,n)$, I. Indag. Math., N.S. 9 (4), (1998), 563--580 (with K. Rampetas).

  35. Length functions and Demazure operators for $G(e,1,n)$, II. Indag. Math., N.S. 9 (4), (1998), 581--594 (with K. Rampetas).

  36. Representations of finite Chevalley groups (in Japanese). In the proceedings of the 14th workshop on "Algebraic combinatiral theory", (1998), 141 - 152.

  37. Finite Coxeter groups and unipotent classes - a conjecture of Geck and Malle (in Japanese). in the proceedings of the workshop on "Representation theory of algebraic groups and quantum groups". June 1998, Science Univ. of Tokyo, Seminar house, 96 - 109.

  38. Schur-Weyl reciprocity for Ariki-Koike algebras. J. Algebra 221, (1999), 293 - 314 (with M. Sakamoto).

  39. Complex reflection groups and cyclotomic Hecke algebras, in ``Three Lectures in Algebra'', Sophia Univ. Lecture Notes in Mathematics No. 41. (1999), 25 - 55.

  40. A Frobenius formula for the characters of Ariki-Koike algebras (in Japanese). In the proceedings of the 2nd workshop on "Representation theory of algebraic groups and quantum groups" . 1999 June, Karuizawa Seminar house, 181 - 197.

  41. Green functions and a conjecture of Geck and Malle. Beitra\"ge zur Algebra und Geometrie 41, (2000), 115--140.

  42. A Frobenius formula for the characters of Ariki-Koike algebras. J. Algebra 226, (2000), 818--856.

  43. Length functions for $G(r,p,n)$. Advanced Studies in Pure Math. 28, (2000), 327 - 342.

  44. Conjectures in the 20th century. " Lusztigˇ¦program" - representation theory of finite Chevalley groups - (in Japanese). Sugaku Seminar vol. 39, March (2000), 52 - 56.

  45. Conjectures in the 20th century, A locus of contemporary mathematics (in Japanese). edited by Sugaku Seminar editors, Nihon-hyoronsha (2000), 130 -- 140.

  46. A combinatorial approach to Green polynomials of classical groups. in the Proceedings of ```Representation Theory of Finite and Algebraic groups'', edited by N. Kawanaka et.al., Osaka University, (2000) 188 -- 199.

  47. Representation theory of finite Chevalley groups. in the Proceedings of ``Representation Theory of Finite and Algebraic groups'', edited by N. Kawanaka et.al., Osaka University, (2000) 70 -- 88.

  48. On Green functions assocaited to complex reflection groups (in Japanese). In the proceedings of the 44th Symposium on Algebra, August 2000, Kyushu Univ. pp. 221 - 240.

  49. Green functions associated to complex reflection groups - centering the case of $D_n$ -, (in Japanese). RIMS Kokyuroku, Topics related to combinatorial representation theory, 2001, 107 - 125.

  50. Green functions associated to complex reflection groups, $G(e,1,n)$. In ``Physics and Combinatorics 2000'', Proceedings of the Nagoya 2000 International Workshop, World Scientific (2001), 281--298.

  51. Representations of finite Chevalley groups. Advanced Studies in Pure Math. 32, (2001), 369--378.

  52. Green functions associated to complex reflection groups.   J. Algebra. 245, (2001), 650 - 694.

  53. Kazhdan-Lusztig basis of Hecke algebras of type B and canonical basis of quantum groups of type A. In the proceedings of the 4th workshop on "Representation theory of Algebraic groups and Quantum groups'', (2001), 41 - 55. (In Japanese, with K. Ohkura)

  54. Green functions associated to complex reflection groups. Sugaku, 54, (2002), 69 - 85. (In Japanese).

  55. Green functions associated to complex reflection groups, II. J. of Algebra. 258, (2002), 563 - 598. RT/0105053

  56. On certain bases for Ariki-Koike algebras arising from canonical bases for $U_v(sl_m)$. SUT J. of Math., 38, (2002), 145 - 173. (With K. Ohkura).

  57. Macdonald functions associated to complex reflection groups. J. Alg. 260, (2003), 426-448. (DVI,   PostScript)   QA/0208061

  58. Generalized Green functions, unipotent classes and graded Hecke algebras. (In Japanese) RIMS Kokyuroku, Combinatorial theoretic representation theory and related topics (2003), 154 - 168.

  59. The work of Susumu Ariki---A new interaction between Hecke algebras and quantum groups -- (in Japanese) Sugaku 56 (2004) 194 - 199. (DVI,   PostScript)  

  60. Green functions attached to limit symbols. Adv. Studies in Pure Math. 40, "Representation theory of algebraic groups and quantum groups", pp.443 - 467 (2004).

  61. Lusztig's conjecture for special linear groups. (in Japanese) RIMS Kokyuroku, "Aspects of the combinatorial representation theory". (2004), 80 -- 89. (PDF,   PostScript)  

  62. Subfield symmetric spaces for finite special linear grouups. Representation theory, an Electronic J. of AMS, 8 (2004) 487 -- 521 (with K. Sorlin). (PDF,   PostScript)  

  63. Encyclopedia in Algebra I, The evolution of the group theory, Chapter 3, Visiting the Deligne-Lusztig characters -- Representation theory of finite Chevalley groups --, pp.185 -- 326, (with Hotta, Watanabe, and Mimachi), (in Japanese). Asakura, Tokyo (2004)

  64. Modified Ariki-Koike algebras and cyclotomic $q$-Schur algebras, Math. Z. 249, (2005) 829--867 (with N. Sawada). (DVI,   PostScript)

  65. Flash beams in representation theroy -- seven stories centering Hecke algebras -- (in Japanese) Suuri-Kagaku, December 2005, 15 -- 21.

  66. On Green functions associated to complex reflection groups. Sugaku Expositions 18, (2005) 123--141.

  67. Symmetric space associated to special linear groups, Proceedings of the conference on groups and Lie algebras, Sophia Univ. Lecture series on mathematics, No. 46, (2006), 119 -- 137.

  68. Green functions and Macdonald functions associated to complex reflection groups. Preprint. To appear in the proceedings of the "Conference in Algebras" held in Ateneo de Manila Univesity, 2002.

  69. Lusztig's conjecture for finite special linear groups. Representation Theory 10 (2006) 164 -- 222. (PDF,   PostScript)

  70. Schur-Weyl reciprocity between quantum groups and Hecke algerbas of type $G(p,p,n)$. (with J. Hu) J. of Algebra, 298 (2006), 215 -- 237.

  71. On the computation of irreducible characters of finite reductive groups. RIMS Kokyuroku :" The world of combinatorial representation theory" (2006) 140 -- 153.
  72. Generalized Green functions and unipotent classes for finite reductive groups, I. To appear in Nagoya Math. J. (PDF,   PostScript)  

  73. A variant of the induction theorem for Springer representations, (revised in July, 2006). To appear in J. of Algebra. (PDF,   PostScript)  

  74. Generalized Green functions and unipotent classes for finite reductive groups, II. Preprint. (PDF,   PostScript)