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Volumn 43, Issue 1, 1998, Pages 31-42

RSOS Models and Jantzen-Seitz Representations of Hecke Algebras at Roots of Unity

Author keywords

Hecke algebras; Jantzen Seitz modules; Restricted solid on solid models; Symmetric groups

Indexed keywords


EID: 0009046558     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1007316705535     Document Type: Article
Times cited : (2)

References (25)
  • 1
    • 0021422438 scopus 로고
    • Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
    • Andrews, G. E., Baxter, R. J. and Forrester, P. J.: Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities, J. Statist. Phys. 35 (1984), 193-266.
    • (1984) J. Statist. Phys. , vol.35 , pp. 193-266
    • Andrews, G.E.1    Baxter, R.J.2    Forrester, P.J.3
  • 4
    • 84963044016 scopus 로고
    • Representations of Hecke algebras of general linear groups
    • Dipper, R. and James, G. D.: Representations of Hecke algebras of general linear groups, Proc. London Math. Soc. 52 (1986), 20-52.
    • (1986) Proc. London Math. Soc. , vol.52 , pp. 20-52
    • Dipper, R.1    James, G.D.2
  • 5
    • 0000128294 scopus 로고
    • Paths, Maya diagrams, and representations of s-fraktur sign and l-fraktur sign (r, C)
    • Date, E., Jimbo, M., Kuniba, A., Miwa, T. and Okado, M.: Paths, Maya diagrams, and representations of s-fraktur sign and l-fraktur sign (r, C), Adv. Stud. Pure Math. 19 (1989), 149-191.
    • (1989) Adv. Stud. Pure Math. , vol.19 , pp. 149-191
    • Date, E.1    Jimbo, M.2    Kuniba, A.3    Miwa, T.4    Okado, M.5
  • 6
    • 0001189788 scopus 로고
    • Automorphic properties of local height probabilities for integrable solid-on-solid models
    • Date. E., Jimbo, M., Miwa, T. and Okado, M.: Automorphic properties of local height probabilities for integrable solid-on-solid models, Phys. Rev. B 35 (1987), 2105-2107.
    • (1987) Phys. Rev. B , vol.35 , pp. 2105-2107
    • Date, E.1    Jimbo, M.2    Miwa, T.3    Okado, M.4
  • 11
    • 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, Comm. Math. Phys. 127 (1990), 129-144.
    • (1990) Comm. Math. Phys. , vol.127 , pp. 129-144
    • Hayashi, T.1
  • 14
    • 84963044139 scopus 로고
    • On the representation theory of the symmetric groups
    • Jantzen, J. C. and Seitz, G. M.: On the representation theory of the symmetric groups, Proc. London Math. Soc. 65 (1992), 475-504.
    • (1992) Proc. London Math. Soc. , vol.65 , pp. 475-504
    • Jantzen, J.C.1    Seitz, G.M.2
  • 17
    • 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 (1991), 465-516.
    • (1991) Duke Math. J. , vol.63 , pp. 465-516
    • Kashiwara, M.1
  • 18
    • 84974004410 scopus 로고
    • Global crystal bases of quantum groups
    • Kashiwara, M.: Global crystal bases of quantum groups, Duke Math. J. 69 (1993), 455-485.
    • (1993) Duke Math. J. , vol.69 , pp. 455-485
    • Kashiwara, M.1
  • 20
    • 84962994272 scopus 로고
    • On restrictions of irreducible modular representations of semisimple algebraic groups and symmetric groups to natural subgroups I
    • Kleshchev, A. S.: On restrictions of irreducible modular representations of semisimple algebraic groups and symmetric groups to natural subgroups I, Proc. London Math. Soc. 69 (1994), 515-540.
    • (1994) Proc. London Math. Soc. , vol.69 , pp. 515-540
    • Kleshchev, A.S.1
  • 21
    • 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. London Math. Soc. 2 (1995).
    • (1995) J. London Math. Soc. , vol.2
    • Kleshchev, A.S.1
  • 22
    • 0001386626 scopus 로고    scopus 로고
    • Hecke algebras at roots of unity and crystal bases of quantum affine algebras
    • Lascoux, A., Leclerc, B. and Thibon, J.-Y.: 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
  • 24
    • 0011620036 scopus 로고
    • Semi-infinite wedges and vertex operators
    • Stern, E.: Semi-infinite wedges and vertex operators, Internal. Math. Res. Notices (1995), 201-220.
    • (1995) Internal. Math. Res. Notices , pp. 201-220
    • Stern, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.