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Volumn 181, Issue 1, 1996, Pages 205-263

Hecke algebras at roots of unity and crystal bases of quantum affine algebra

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EID: 0001386626     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02101678     Document Type: Article
Times cited : (251)

References (41)
  • 1
    • 0013262884 scopus 로고
    • Partition identities with an application to group representation theory
    • Andrews, G.E., Olsson, J.B.: Partition identities with an application to group representation theory. J. Reine Angew. Math. 413, 198-212 (1991)
    • (1991) J. Reine Angew. Math. , vol.413 , pp. 198-212
    • Andrews, G.E.1    Olsson, J.B.2
  • 7
    • 84963044016 scopus 로고
    • Representations of Hecke algebras of general linear groups
    • Dipper, R., James, G.: Representations of Hecke algebras of general linear groups. Proc. Lond. Math. Soc. 52, 20-52 (1986)
    • (1986) Proc. Lond. Math. Soc. , vol.52 , pp. 20-52
    • Dipper, R.1    James, G.2
  • 8
    • 84959836462 scopus 로고
    • Blocks and idempotents of Hecke algebras of general linear groups
    • Dipper, R., James, G.: Blocks and idempotents of Hecke algebras of general linear groups. Proc. Lond. Math. Soc. 54, 57-82 (1987)
    • (1987) Proc. Lond. Math. Soc. , vol.54 , pp. 57-82
    • Dipper, R.1    James, G.2
  • 11
    • 85008140215 scopus 로고
    • Euler-Poincaré characteristic and polynomial representations of Iwahori-Hecke algebras
    • Kyoto Univ.
    • Duchamp, G., Krob, D., Lascoux, A., Leclerc, B., Scharff, T., Thibon, J.-Y.: Euler-Poincaré characteristic and polynomial representations of Iwahori-Hecke algebras. Publ. RIMS, Kyoto Univ. 31, 179-201 (1995)
    • (1995) Publ. RIMS , vol.31 , pp. 179-201
    • Duchamp, G.1    Krob, D.2    Lascoux, A.3    Leclerc, B.4    Scharff, T.5    Thibon, J.-Y.6
  • 13
    • 33845725844 scopus 로고
    • Q-analogues of Clifford and Weyl algebras - Spinor and oscillator representations of quantum enveloping algebras
    • Hayashi, T.: q-analogues of Clifford and Weyl algebras - Spinor and oscillator representations of quantum enveloping algebras. Commun. Math. Phys. 127, 129-144 (1990)
    • (1990) Commun. Math. Phys. , vol.127 , pp. 129-144
    • Hayashi, T.1
  • 15
    • 0003973844 scopus 로고
    • The representation theory of the symmetric group
    • MA: Addison-Wesley
    • James, G., Kerber, A.: The representation theory of the symmetric group. Reading, MA: Addison-Wesley, 1981
    • (1981) Reading
    • James, G.1    Kerber, A.2
  • 19
    • 84974000954 scopus 로고
    • On crystal bases of the q-analogue of universal enveloping algebras
    • Kashiwara, M.: On crystal bases of the q-analogue of universal enveloping algebras. Duke Math. J. 63, 465-516 (1991)
    • (1991) Duke Math. J. , vol.63 , pp. 465-516
    • Kashiwara, M.1
  • 20
    • 84974004410 scopus 로고
    • Global crystal bases of quantum groups
    • Kashiwara, M.: Global crystal bases of quantum groups. Duke Math. J. 69, 455-485 (1993)
    • (1993) Duke Math. J. , vol.69 , pp. 455-485
    • Kashiwara, M.1
  • 21
    • 84974004121 scopus 로고
    • Crystal bases of modified quantized enveloping algebra
    • Kashiwara, M.: Crystal bases of modified quantized enveloping algebra. Duke Math. J. 73, 383-413 (1994)
    • (1994) Duke Math. J. , vol.73 , pp. 383-413
    • Kashiwara, M.1
  • 22
    • 84960598757 scopus 로고
    • Affine lie algebras and quantum groups
    • Kazhdan, D., Lusztig, G.: Affine Lie algebras and quantum groups. Int. Math. Res. Not. 2, 21-29 (1991)
    • (1991) Int. Math. Res. Not. , vol.2 , pp. 21-29
    • Kazhdan, D.1    Lusztig, G.2
  • 23
    • 0038834321 scopus 로고    scopus 로고
    • Branching rules for the modular representations of symmetric groups I
    • to appear
    • Kleshchev, A.S.: Branching rules for the modular representations of symmetric groups I. J. Algebra (to appear)
    • J. Algebra
    • Kleshchev, A.S.1
  • 24
    • 0000453228 scopus 로고
    • Branching rules for the modular representations of symmetric groups II
    • Kleshchev, A.S.: Branching rules for the modular representations of symmetric groups II. J. Reine. Angew. Math. 459, 163-212 (1995)
    • (1995) J. Reine. Angew. Math. , vol.459 , pp. 163-212
    • Kleshchev, A.S.1
  • 25
    • 0009274446 scopus 로고
    • Branching rules for the modular representations of symmetric groups III; some corollaries and a problem of mullineux
    • Kleshchev, A.S.: Branching rules for the modular representations of symmetric groups III; Some corollaries and a problem of Mullineux. J. Lond. Math. Soc. 2 (1995)
    • (1995) J. Lond. Math. Soc. , vol.2
    • Kleshchev, A.S.1
  • 26
    • 0010628194 scopus 로고
    • Bases for quantum Demazure modules II
    • Lakshmibai, V.: Bases for quantum Demazure modules II. Proc. Symp. Pure Math. 56, part 2, 149-168 (1994)
    • (1994) Proc. Symp. Pure Math. , vol.56 , Issue.PART 2 , pp. 149-168
    • Lakshmibai, V.1
  • 27
    • 0038834320 scopus 로고
    • Ribbon tableaux, Hall-Littlewood functions and unipotent varieties
    • Rencontre 12-16 March 1995, Saint-Nabor, Ottrott, France, Université Louis Pasteur, IRMA, Strasbourg
    • Lascoux, A.: Leclerc, B., Thibon, J.-Y.: Ribbon tableaux, Hall-Littlewood functions and unipotent varieties. In: "Algebraic Combinatorics, Rencontre 12-16 March 1995, Saint-Nabor, Ottrott, France," Université Louis Pasteur, IRMA, Strasbourg 1995, pp. 183-207
    • (1995) Algebraic Combinatorics , pp. 183-207
    • Lascoux, A.1    Leclerc, B.2    Thibon, J.-Y.3
  • 28
    • 0000226056 scopus 로고
    • Une conjecture pour le calcul des matrices de décomposition des algèbres de Hecke de type A aux racines de l'unité
    • Lascoux, A.: Leclerc, B., Thibon, J.-Y.: Une conjecture pour le calcul des matrices de décomposition des algèbres de Hecke de type A aux racines de l'unité. C.R. Acad. Sci. Paris 321, 511-516 (1995)
    • (1995) C.R. Acad. Sci. Paris , vol.321 , pp. 511-516
    • Lascoux, A.1    Leclerc, B.2    Thibon, J.-Y.3
  • 31
    • 0002229544 scopus 로고
    • Modular representations and quantum groups
    • Lusztig, G.: Modular representations and quantum groups. Contemp. Math. 82, 59-77 (1989)
    • (1989) Contemp. Math. , vol.82 , pp. 59-77
    • Lusztig, G.1
  • 34
    • 0000553365 scopus 로고
    • On the ordinary quiver of the principal block of certain symmetric groups
    • Martin, S.: On the ordinary quiver of the principal block of certain symmetric groups. Quart. J. Math. Oxford Ser. 40, 209-223 (1989)
    • (1989) Quart. J. Math. Oxford Ser. , vol.40 , pp. 209-223
    • Martin, S.1
  • 35
    • 0009074805 scopus 로고
    • Ordinary quivers for symmetric groups
    • Martin, S.: Ordinary quivers for symmetric groups. Quart. J. Math. Oxford Ser. 41, 72-92 (1990)
    • (1990) Quart. J. Math. Oxford Ser. , vol.41 , pp. 72-92
    • Martin, S.1
  • 37
    • 0002067996 scopus 로고
    • Bijections of p-regular partitions and p-modular irreducibles of the symmetric groups
    • Mullineux, G.: Bijections of p-regular partitions and p-modular irreducibles of the symmetric groups. J. Lond. Math. 20, 60-66 (1979)
    • (1979) J. Lond. Math. , vol.20 , pp. 60-66
    • Mullineux, G.1
  • 40
    • 0003233098 scopus 로고
    • Representations of finite classical groups, a Hopf algebra approach
    • Berlin-Heidelberg-New York: Springer
    • Zelevinsky, A.: Representations of finite classical groups, a Hopf algebra approach. Lect. Notes in Math. 869, Berlin-Heidelberg-New York: Springer, 1981
    • (1981) Lect. Notes in Math. , vol.869
    • Zelevinsky, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.