Characters and character cycles

Hiroyuki OCHIAI

doi:10.2969/jmsj/04540583

Hiroyuki OCHIAI

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JOURNAL FREE ACCESS

1993 Volume 45 Issue 4 Pages 583-598

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

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Published: 1993 Received: August 26, 1992 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: 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.

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