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Volumn 2, Issue 7, 1998, Pages 264-277

Kazhdan-lusztig cells and decomposition numbers

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EID: 85009786681     PISSN: 10884165     EISSN: None     Source Type: Journal    
DOI: 10.1090/S1088-4165-98-00042-9     Document Type: Article
Times cited : (28)

References (24)
  • 1
    • 0030327742 scopus 로고    scopus 로고
    • On the decomposition numbers of the Hecke algebra of G(M; 1; n)
    • CMP 97:11
    • S. Ariki, On the decomposition numbers of the Hecke algebra of G(m; 1; n), J. Math. Kyoto Univ. 36 (1996), 789-808. CMP 97:11
    • (1996) J. Math. Kyoto Univ , vol.36 , pp. 789-808
    • Ariki, S.1
  • 2
    • 84967729684 scopus 로고
    • On the degrees and rationality of certain characters of finite Chevalley groups
    • 165 (1972), 251-273; Corrections and additions, ibid., MR 51:737
    • C. T. Benson and C.W. Curtis, On the degrees and rationality of certain characters of finite Chevalley groups, Trans. Amer. Math. Soc. 165 (1972), 251-273; Corrections and additions, ibid. 202 (1975), 405-406. MR 51:737
    • (1975) Trans. Amer. Math. Soc , vol.202 , pp. 405-406
    • Benson, C.T.1    Curtis, C.W.2
  • 3
    • 0004016031 scopus 로고    scopus 로고
    • Wiley, New York, 1981 and 1987. MR 90k:20001; MR 82i:20001; MR 88f:20002
    • C. W. Curtis and I. Reiner, Methods of Representation Theory Vols. 1 and 2, Wiley, New York, 1981 and 1987. MR 90k:20001; MR 82i:20001; MR 88f:20002
    • Methods of Representation Theory
    • Curtis, C.W.1    Reiner, I.2
  • 4
    • 0001439084 scopus 로고
    • Polynomial representations of finite general linear groups in non-describing characteristic
    • (G. O. Michler, C. M. Ringel, eds.), Progress in Math. 95, Birkhäuser, Boston, MR 92h:20018
    • R Dipper, Polynomial representations of finite general linear groups in non-describing characteristic, Representation theory of finite groups and finite-dimensional algebras (G. O. Michler, C. M. Ringel, eds.), Progress in Math. 95, Birkhäuser, Boston, 1991, pp. 344-370. MR 92h:20018
    • (1991) Representation Theory of Finite Groups and Finite-Dimensional Algebras , pp. 344-370
    • Dipper, R.1
  • 5
    • 84963044016 scopus 로고
    • Representations of Hecke algebras of the general linear groups
    • MR 88b:20065
    • R Dipper and G. D. James, Representations of Hecke algebras of the general linear groups, Proc. London Math. Soc. 52 (1986), 20-52. MR 88b:20065
    • (1986) Proc. London Math. Soc , vol.52 , pp. 20-52
    • Dipper, R.1    James, G.D.2
  • 6
    • 0001291442 scopus 로고
    • Hecke algebras of type Bn at roots of unity
    • MR 96b:20004
    • R. Dipper, G. D. James and G. E. Murphy, Hecke algebras of type Bn at roots of unity, Proc. London Math. Soc. 70 (1995), 505-528. MR 96b:20004
    • (1995) Proc. London Math. Soc , vol.70 , pp. 505-528
    • Dipper, R.1    James, G.D.2    Murphy, G.E.3
  • 7
    • 84963015153 scopus 로고
    • On Lusztig’s isomorphism theorems for Hecke algebras and representation theory
    • MR 94c:20074
    • P. Fleischmann, On Lusztig’s isomorphism theorems for Hecke algebras and representation theory, J. London Math. Soc. 47 (1993), 450-472. MR 94c:20074
    • (1993) J. London Math. Soc , vol.47 , pp. 450-472
    • Fleischmann, P.1
  • 8
    • 38249016440 scopus 로고
    • Brauer trees in classical groups
    • MR 91i:20008
    • P Fong and B Srinivasan, Brauer trees in classical groups, J. Algebra 131 (1990), 179-225. MR 91i:20008
    • (1990) J. Algebra , vol.131 , pp. 179-225
    • Fong, P.1    Srinivasan, B.2
  • 9
    • 0001534994 scopus 로고
    • Brauer trees of Hecke algebras
    • MR 94a:20019
    • M. Geck, Brauer trees of Hecke algebras, Comm. Algebra 20 (1992), 2937-2973. MR 94a:20019
    • (1992) Comm. Algebra , vol.20 , pp. 2937-2973
    • Geck, M.1
  • 10
    • 85037278409 scopus 로고    scopus 로고
    • Representations of Hecke algebras at roots of unity
    • 1997-98, Exp. 836, Astérisque (to appear)
    • M. Geck, Representations of Hecke algebras at roots of unity, Séminaire Bourbaki, 50ème annèe, 1997-98, Exp. 836, Astérisque (to appear).
    • Séminaire Bourbaki, 50ème annèe
    • Geck, M.1
  • 12
    • 0001332534 scopus 로고
    • Modular representation theory over a ring of higher dimension with applications to Hecke algebras
    • MR 96m:20024
    • A. Gyoja, Modular representation theory over a ring of higher dimension with applications to Hecke algebras, J. Algebra 174 (1995), 553-572. MR 96m:20024
    • (1995) J. Algebra , vol.174 , pp. 553-572
    • Gyoja, A.1
  • 13
    • 0001353061 scopus 로고    scopus 로고
    • Cells and modular representations of Hecke algebras
    • MR 97k:20018
    • A. Gyoja, Cells and modular representations of Hecke algebras, Osaka J. Math. 33 (1996), 307-341. MR 97k:20018
    • (1996) Osaka J. Math , vol.33 , pp. 307-341
    • Gyoja, A.1
  • 14
    • 34250264460 scopus 로고
    • Representations of Coxeter groups and Hecke algebras
    • MR 81j:20066
    • D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), 165-184. MR 81j:20066
    • (1979) Invent. Math , vol.53 , pp. 165-184
    • Kazhdan, D.1    Lusztig, G.2
  • 15
    • 0001386626 scopus 로고    scopus 로고
    • Hecke algebras at roots of unity and crystal bases of quantum affine algebras
    • MR 97k:17019
    • A. Lascoux, B. Leclerc and J. Y. Thibon, Hecke algebras at roots of unity and crystal bases of quantum affine algebras, Comm. Math. Physics 181 (1996), 205-263. MR 97k:17019
    • (1996) Comm. Math. Physics , vol.181 , pp. 205-263
    • Lascoux, A.1    Leclerc, B.2    Thibon, J.Y.3
  • 16
    • 0001613532 scopus 로고
    • On a theorem of Benson and Curtis
    • MR 83a:20053
    • G. Lusztig, On a theorem of Benson and Curtis, J. Algebra 71 (1981), 490-498. MR 83a:20053
    • (1981) J. Algebra , vol.71 , pp. 490-498
    • Lusztig, G.1
  • 17
    • 0003226743 scopus 로고
    • Characters of reductive groups over a finite field
    • Princeton University Press, MR 86j:20038
    • G. Lusztig, Characters of reductive groups over a finite field, Annals Math. Studies 107, Princeton University Press, 1984. MR 86j:20038
    • (1984) Annals Math. Studies , vol.107
    • Lusztig, G.1
  • 18
    • 0000399235 scopus 로고
    • Cells in affine Weyl groups, Advanced Studies in Pure Math
    • Kinokuniya and North-Holland, Tokyo-Amsterdam, MR 87h:20074
    • G. Lusztig, Cells in affine Weyl groups, Advanced Studies in Pure Math. 6, Algebraic groups and related topics, Kinokuniya and North-Holland, Tokyo-Amsterdam, 1985, pp. 255-287. MR 87h:20074
    • (1985) Algebraic Groups and Related Topics , vol.6 , pp. 255-287
    • Lusztig, G.1
  • 19
    • 0000047154 scopus 로고
    • Cells in affine Weyl groups II
    • MR 88m:20103a
    • G. Lusztig, Cells in affine Weyl groups II, J. Algebra 109 (1987), 536-548. MR 88m:20103a
    • (1987) J. Algebra , vol.109 , pp. 536-548
    • Lusztig, G.1
  • 20
    • 0001465699 scopus 로고
    • Cells in affine Weyl groups III
    • MR 88m:20103b
    • G. Lusztig, Cells in affine Weyl groups III, J. Fac. Sci. Univ. Tokyo 34 (1987), 223-243. MR 88m:20103b
    • (1987) J. Fac. Sci. Univ. Tokyo , vol.34 , pp. 223-243
    • Lusztig, G.1
  • 21
    • 0000699254 scopus 로고
    • Leading coefficients of character values of Hecke algebra
    • Amer. Math. Soc., Providence, RI, MR 89b:20087
    • G. Lusztig, Leading coefficients of character values of Hecke algebra, Proc. Symp. Pure Math. 47, Amer. Math. Soc., Providence, RI, 1987, pp. 235-262. MR 89b:20087
    • (1987) Proc. Symp. Pure Math , vol.47 , pp. 235-262
    • Lusztig, G.1


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