Characters and character cycles

Hiroyuki OCHIAI

doi:10.2969/jmsj/04540583

Hiroyuki OCHIAI

著者情報

ジャーナルフリー

1993 年 45 巻 4 号 p. 583-598

DOI https://doi.org/10.2969/jmsj/04540583

詳細

Published: 1993 Received: 1992/08/26 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) M.F. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic complexes: II. Applications, Ann. of Math., 88 (1968), 451-491.
2) A. Beilinson and L. Bernstein, Localisation de g-modules, C.R. Acad. Sci. Paris Sér. I, 292 (1981), 15-18.
3) A. Beilinson and L. Bernstein, A generalization of Casselman's submodule theorem, In Proceedings, Utah 1982, (ed. P.C. Trombi), Representation theory of reductive groups, Progr. Math., 40, Birkhäuser, 1983, pp. 35-52.
4) J.L. Brylinski and M. Kashiwara, Kazhdan-Lusztig conjecture and holonomic systems, Invent. Math., 64 (1981), 387-410.
5) H. Hecht, D. Milicié, W. Schmid and J. Wolf, Characters, asymptotics, and n- homology of Harish-Chandra modules I, Invent. Math., 90 (1987), 297-332.
6) H. Hecht and W. Schmid, Characters, asymptotics, and n-homology of Harish- Chandra modules, Acta Math., 151 (1983), 49-151.
7) R. Hotta, Character P-modules on a reductive groups, Sûrikaiseki kenkyûsho Kôkyûroku, 642, 1988, pp. 40-66.
8) R. Hotta and M. Kashiwara, The invariant holonomic systems on a semisimple Lie algebra, Invent. Math., 75 (1984), 327-358.
9) R. Hotta and M. Kashiwara, Quotients of Harish-Chandra system by primitive ideals, In Geometry Today, Roma 1984, (eds. E. Arbarello, C. Procesi and E. Strickland), Progr. Math., 60, Birkhäuser, 1985, pp. 185-205.
10) M. Kashiwara, Open problems in group representation theory, In Proceedings of Taniguchi symposium, Katata 1986, (ed. T. Oshima), Open problems in representation theory of Lie groups, Tokyo, 1987, pp. 11-12.
11) M. Kashiwara, Character, character cycle, fixed point theorem and group representation, In Proceedings, Kyoto Hiroshima 1986, (eds. K. Okamoto and T. Oshima), Representations of Lie groups, Adv. Stud. Pure Math., 14 (1987), 369-378.
12) M. Kashiwara, The invariant holonomic system on a semisimple Lie group, In Algebraic Analysis, (eds. M. Kashiwara and T. Kawai), Academic Press, 1988, pp. 277-286.
13) M. Kashiwara and P. Schapira, Sheaves on manifolds, Springer, 1990.
14) A. Knapp, Representation theory of semisimple groups, Princeton Univ. Press, 1986.
15) I. Mirkovic, T. Uzawa and K. Vilonen, Matsuki correspondence for sheaves, 1991, preprint.
16) I. Mirkovic and K. Vilonen, Characteristic varieties and character sheaves, Invent. Math., 93 (1988), 405-418.
17) W. Schmid and K. Vilonen, Characters, fixed points and Osborne's conjecture, preprint.
18) T. Uzawa, Invariant hyperfunction sections of line bundles, Thesis, Yale, 1990.
19) D. Vogan, Irreducible characters of semisimple Lie groups III, Invent. Math., 71 (1983), 381-417.
20) D. Vogan, Irreducible characters of semisimple Lie groups IV, Duke. Math, J., 49 (1982), 943-1073.

Right : [1] M.F. Atiyah and R. Bott, A Lefschetz fixed point formula for elliptic complexes: II. Applications, Ann. of Math., 88 (1968), 451-491.
[2] A. Beilinson and L. Bernstein, Localisation de g-modules, C. R. Acad. Sci. Paris Sér. I, 292 (1981), 15-18.
[3] A. Beilinson and L. Bernstein, A generalization of Casselman's submodule theorem, In Proceedings, Utah 1982, (ed. P. C. Trombi), Representation theory of reductive groups, Progr. Math., 40, Birkhäuser, 1983, pp. 35-52.
[4] J. L. Brylinski and M. Kashiwara, Kazhdan-Lusztig conjecture and holonomic systems, Invent. Math., 64 (1981), 387-410.
[5] H. Hecht, D. Milicié, W. Schmid and J. Wolf, Characters, asymptotics, and n-homology of Harish-Chandra modules I, Invent. Math., 90 (1987), 297-332.
[6] H. Hecht and W. Schmid, Characters, asymptotics, and n-homology of Harish-Chandra modules, Acta Math., 151 (1983), 49-151.
[7] R. Hotta, Character L-modules on a reductive groups, Sûrikaiseki kenkyûsho Kôkyûroku, 642, 1988, pp. 40-66.
[8] R. Hotta and M. Kashiwara, The invariant holonomic systems on a semisimple Lie algebra, Invent. Math., 75 (1984), 327-358.
[9] R. Hotta and M. Kashiwara, Quotients of Harish-Chandra system by primitive ideals, In Geometry Today, Roma 1984, (eds. E. Arbarello, C. Procesi and E. Strickland), Progr. Math., 60, Birkhäuser, 1985, pp. 185-205.
[10] M. Kashiwara, Open problems in group representation theory, In Proceedings of Taniguchi symposium, Katata 1986, (ed. T. Oshima), Open problems in representation theory of Lie groups, Tokyo, 1987, pp. 11-12.
[11] M. Kashiwara, Character, character cycle, fixed point theorem and group representation, In Proceedings, Kyoto Hiroshima 1986, (eds. K. Okamoto and T. Oshima), Representations of Lie groups, Adv. Stud. Pure Math., 14 (1987), 369-378.
[12] M. Kashiwara, The invariant holonomic system on a semisimple Lie group, In Algebraic Analysis, (eds. M. Kashiwara and T. Kawai), Academic Press, 1988, pp. 277-286.
[13] M. Kashiwara and P. Schapira, Sheaves on manifolds, Springer, 1990.
[14] A. Knapp, Representation theory of semisimple groups, Princeton Univ. Press, 1986.
[15] I. Mirkovic, T. Uzawa and K. Vilonen, Matsuki correspondence for sheaves, 1991, preprint.
[16] I. Mirkovic and K. Vilonen, Characteristic varieties and character sheaves, Invent. Math., 93 (1988), 405-418.
[17] W. Schmid and K. Vilonen, Characters, fixed points and Osborne's conjecture, preprint.
[18] T. Uzawa, Invariant hyperfunction sections of line bundles, Thesis, Yale, 1990.
[19] D. Vogan, Irreducible characters of semisimple Lie groups III, Invent. Math., 71 (1983), 381-417.
[20] D. Vogan, Irreducible characters of semisimple Lie groups IV, Duke. Math. J., 49 (1982), 943-1073.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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