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Volumn 513, Issue , 1999, Pages 33-51

Zelevinsky's involution at roots of unity

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EID: 0033240615     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.1999.062     Document Type: Article
Times cited : (25)

References (35)
  • 1
    • 0030327742 scopus 로고    scopus 로고
    • On the decomposition numbers of the Hecke algebra of G(n,1, m)
    • S. Ariki, On the decomposition numbers of the Hecke algebra of G(n,1, m), J. Math. Kyoto Univ. 36 (1996), 789-808.
    • (1996) J. Math. Kyoto Univ. , vol.36 , pp. 789-808
    • Ariki, S.1
  • 2
    • 84966206465 scopus 로고
    • Dualité dans le groupe de grothendieck de la catégorie des représentations lisses de longueur finie d'un groupe p-adique
    • Erratum, Trans. A.M.S. 348 (1996), 4687-4690
    • A.-M. Aubert, Dualité dans le groupe de Grothendieck de la catégorie des représentations lisses de longueur finie d'un groupe p-adique, Trans. A.M.S. 347 (1995), 2179-2189; Erratum, Trans. A.M.S. 348 (1996), 4687-4690.
    • (1995) Trans. A.M.S. , vol.347 , pp. 2179-2189
    • Aubert, A.-M.1
  • 4
    • 0009191984 scopus 로고    scopus 로고
    • Modular branching rules and the Mullineux map for Hecke algebras of type A
    • to appear
    • J. Brundan, Modular branching rules and the Mullineux map for Hecke algebras of type A, Proc. London Math. Soc., to appear.
    • Proc. London Math. Soc.
    • Brundan, J.1
  • 5
    • 0003209846 scopus 로고    scopus 로고
    • Representation theory and complex geometry
    • N. Chriss and V. Ginzburg, Representation theory and complex geometry, Birkhäuser, 1997.
    • (1997) Birkhäuser
    • Chriss, N.1    Ginzburg, V.2
  • 6
    • 0001322565 scopus 로고
    • Hall algebras, hereditary algebras and quantum groups
    • J. A. Green, Hall algebras, hereditary algebras and quantum groups, Invent. Math. 120 (1995), 361-377.
    • (1995) Invent. Math. , vol.120 , pp. 361-377
    • Green, J.A.1
  • 8
    • 51249164397 scopus 로고
    • On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups
    • N. Iwahori and H. Matsumoto, On some Bruhat decomposition and the structure of the Hecke rings of p-adic Chevalley groups, Publ. Math. I.H.E.S. 25 (1965), 237-280.
    • (1965) Publ. Math. I.H.E.S. , vol.25 , pp. 237-280
    • Iwahori, N.1    Matsumoto, H.2
  • 10
    • 0000063402 scopus 로고
    • Crystal bases of Verma modules for quantum affine algebras
    • S.-J. Kang, M. Kashiwara and K. Misra, Crystal bases of Verma modules for quantum affine algebras, Comp. Math. 92 (1994), 299-325.
    • (1994) Comp. Math. , vol.92 , pp. 299-325
    • Kang, S.-J.1    Kashiwara, M.2    Misra, K.3
  • 11
    • 84974000954 scopus 로고
    • On crystal bases of the q-analogue of universal enveloping algebra
    • M. Kashiwara, On crystal bases of the q-analogue of universal enveloping algebra, Duke Math. J. 63 (1991), 465-516.
    • (1991) Duke Math. J. , vol.63 , pp. 465-516
    • Kashiwara, M.1
  • 12
    • 84974002437 scopus 로고
    • Crystal base and Littlemann's refined Demazure character formula
    • M. Kashiwara, Crystal base and Littlemann's refined Demazure character formula, Duke Math. J. 71 (1993), 839-858.
    • (1993) Duke Math. J. , vol.71 , pp. 839-858
    • Kashiwara, M.1
  • 13
    • 0002641987 scopus 로고    scopus 로고
    • Geometric construction of crystal bases
    • M. Kashiwara and Y. Saito, Geometric construction of crystal bases, Duke Math. J. 89 (1997), 9-36.
    • (1997) Duke Math. J. , vol.89 , pp. 9-36
    • Kashiwara, M.1    Saito, Y.2
  • 14
    • 0009274446 scopus 로고
    • Branching rules for the modular representations of symmetric groups III; Some corollaries and a problem of Mullineux
    • A. S. Kleshchev, Branching rules for the modular representations of symmetric groups III; some corollaries and a problem of Mullineux, J. London Math. Soc. 2 (1995).
    • (1995) J. London Math. Soc. , vol.2
    • Kleshchev, A.S.1
  • 15
    • 0030577672 scopus 로고    scopus 로고
    • Representations of quivers of type A and the multisegment duality
    • H. Knight and A. Zelevinsky, Representations of quivers of type A and the multisegment duality, Adv. Math. 117 (1996), 273-293.
    • (1996) Adv. Math. , vol.117 , pp. 273-293
    • Knight, H.1    Zelevinsky, A.2
  • 16
    • 0001386626 scopus 로고    scopus 로고
    • Hecke algebras at roots of unity and crystal bases of quantum affine algebras
    • A. Lascoux, B. Leclerc and J.-Y. Thibon, Hecke algebras at roots of unity and crystal bases of quantum affine algebras, Comm. Math. Phys. 181 (1996), 205-263.
    • (1996) Comm. Math. Phys. , vol.181 , pp. 205-263
    • Lascoux, A.1    Leclerc, B.2    Thibon, J.-Y.3
  • 17
    • 84968495738 scopus 로고
    • Canonical bases arising from quantized enveloping algebras, I
    • G. Lusztig, Canonical bases arising from quantized enveloping algebras, I, J. Amer. Math. Soc. 3 (1990), 447-498.
    • (1990) J. Amer. Math. Soc. , vol.3 , pp. 447-498
    • Lusztig, G.1
  • 18
    • 0003360864 scopus 로고
    • Canonical bases arising from quantized enveloping algebras, II
    • G. Lusztig, Canonical bases arising from quantized enveloping algebras, II, Progr. Theor. Phys. Suppl. 102 (1990), 175-201.
    • (1990) Progr. Theor. Phys. Suppl. , vol.102 , pp. 175-201
    • Lusztig, G.1
  • 19
    • 84968494076 scopus 로고
    • Quivers, perverse sheaves and quantized enveloping algebras
    • G. Lusztig, Quivers, perverse sheaves and quantized enveloping algebras, J. Amer. Math. Soc. 4 (1991), 365-421.
    • (1991) J. Amer. Math. Soc. , vol.4 , pp. 365-421
    • Lusztig, G.1
  • 20
    • 51249161689 scopus 로고
    • Affine quivers and canonical bases
    • G. Lusztig, Affine quivers and canonical bases, Publ. Math. I.H.E.S. 76 (1992), 111-163.
    • (1992) Publ. Math. I.H.E.S. , vol.76 , pp. 111-163
    • Lusztig, G.1
  • 23
    • 0002067996 scopus 로고
    • Bijections of p-regular partitions and p-modular irreducibles of the symmetric groups
    • G. Mullineux, Bijections of p-regular partitions and p-modular irreducibles of the symmetric groups, J. London Math. Soc. 20 (1979), 60-66.
    • (1979) J. London Math. Soc. , vol.20 , pp. 60-66
    • Mullineux, G.1
  • 24
    • 0031572778 scopus 로고    scopus 로고
    • Polyhedral realizations of crystal bases for quantized Kac-Moody algebras
    • T. Nakashima and A. Zelevinsky, Polyhedral realizations of crystal bases for quantized Kac-Moody algebras, Adv. Math. 131 (1997), 253-278.
    • (1997) Adv. Math. , vol.131 , pp. 253-278
    • Nakashima, T.1    Zelevinsky, A.2
  • 25
    • 0009117537 scopus 로고
    • Thesis King's College, London
    • n, Thesis King's College, London 1994.
    • (1994) n
    • Procter, K.1
  • 26
    • 0031475767 scopus 로고    scopus 로고
    • On the coloured graph structure of Lusztig's canonical basis
    • M. Reineke, On the coloured graph structure of Lusztig's canonical basis. Math. Ann. 307 (1997), 705-723.
    • (1997) Math. Ann. , vol.307 , pp. 705-723
    • Reineke, M.1
  • 29
    • 84963002139 scopus 로고
    • The composition algebra of a cyclic quiver
    • C. M. Ringel, The composition algebra of a cyclic quiver, Proc. London Math. Soc. 66 (1993), 507-537.
    • (1993) Proc. London Math. Soc. , vol.66 , pp. 507-537
    • Ringel, C.M.1
  • 30
    • 0001318115 scopus 로고
    • On modules over the Hecke algebra of a p-adic group
    • J. D. Rogawski, On modules over the Hecke algebra of a p-adic group, Invent. Math. 79 (1985), 443-465.
    • (1985) Invent. Math. , vol.79 , pp. 443-465
    • Rogawski, J.D.1
  • 32
    • 0000532426 scopus 로고
    • Induced representations of reductive p-adic groups II
    • A. Zelevinsky, Induced representations of reductive p-adic groups II, Ann. Sci. E.N.S. 13 (1980), 165-210.
    • (1980) Ann. Sci. E.N.S. , vol.13 , pp. 165-210
    • Zelevinsky, A.1
  • 33
    • 0002342648 scopus 로고
    • A p-adic analog of the Kazhdan-Lusztig conjecture
    • A. Zelevinsky, A p-adic analog of the Kazhdan-Lusztig conjecture, Funct. Anal. Appl. 15 (1981), 83-92.
    • (1981) Funct. Anal. Appl. , vol.15 , pp. 83-92
    • Zelevinsky, A.1
  • 34
    • 0009269765 scopus 로고
    • Two remarks on graded nilpotent classes
    • A. Zelevinsky, Two remarks on graded nilpotent classes, Russian Math. Surv. 40 (1985), 249-250.
    • (1985) Russian Math. Surv. , vol.40 , pp. 249-250
    • Zelevinsky, A.1
  • 35
    • 0009117538 scopus 로고    scopus 로고
    • Multisegment duality, canonical bases and total positivity
    • Berlin
    • A. Zelevinsky, Multisegment duality, canonical bases and total positivity, Proc. I.C.M. Berlin, 1998.
    • Proc. I.C.M. , pp. 1998
    • Zelevinsky, A.1


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