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Volumn , Issue 3, 1998, Pages

On Irreducibility of Tensor Products of Yangian Modules

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EID: 1842791231     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (31)

References (19)
  • 1
    • 85157056282 scopus 로고    scopus 로고
    • Finite-dimensional representations of quantum affine algebras
    • to appear
    • T. Akasaka and M. Kashiwara, Finite-dimensional representations of quantum affine algebras, to appear in Publ. Res. Inst. Math. Sci.
    • Publ. Res. Inst. Math. Sci.
    • Akasaka, T.1    Kashiwara, M.2
  • 3
    • 0002326145 scopus 로고
    • Special bases of irreducible representations of a degenerate affine Hecke algebra
    • I. Cherednik, Special bases of irreducible representations of a degenerate affine Hecke algebra, Funct. Anal. Appl. 20 (1986), 76-78.
    • (1986) Funct. Anal. Appl. , vol.20 , pp. 76-78
    • Cherednik, I.1
  • 4
    • 84972557101 scopus 로고
    • A new interpretation of Gelf'and-Zetlin bases
    • _, A new interpretation of Gelf'and-Zetlin bases, Duke Math. J. 54 (1987), 563-577.
    • (1987) Duke Math. J. , vol.54 , pp. 563-577
  • 6
    • 0000911818 scopus 로고
    • Hopf algebras and the quantum Yang-Baxter equation
    • V. Drinfel'd, Hopf algebras and the quantum Yang-Baxter equation, Soviet Math. Dokl. 32 (1985), 254-258.
    • (1985) Soviet Math. Dokl. , vol.32 , pp. 254-258
    • Drinfel'd, V.1
  • 7
    • 0000503475 scopus 로고
    • A new realization of Yangians and of quantum affine algebras
    • _, A new realization of Yangians and of quantum affine algebras, Soviet Math. Dokl. 36 (1988), 212-216.
    • (1988) Soviet Math. Dokl. , vol.36 , pp. 212-216
  • 8
    • 0000834650 scopus 로고
    • Finite-dimensional representations of the unimodular group
    • I. Gelfand and M. Zetlin, Finite-dimensional representations of the unimodular group, Dokl. Akad. Nauk SSSR 71 (1950), 825-828.
    • (1950) Dokl. Akad. Nauk SSSR , vol.71 , pp. 825-828
    • Gelfand, I.1    Zetlin, M.2
  • 9
    • 0003233853 scopus 로고
    • The Representation Theory of the Symmetric Group
    • Addison-Wesley, Reading, Mass.
    • G. James and A. Kerber, The Representation Theory of the Symmetric Group, Encylopedia Math. Appl. 16, Addison-Wesley, Reading, Mass., 1981.
    • (1981) Encylopedia Math. Appl. , vol.16
    • James, G.1    Kerber, A.2
  • 10
    • 0000143636 scopus 로고
    • Symmetric polynomials and the center of the symmetric group ring
    • A. Jucys, Symmetric polynomials and the center of the symmetric group ring, Rep. Math. Phys. 5 (1974), 107-112.
    • (1974) Rep. Math. Phys. , vol.5 , pp. 107-112
    • Jucys, A.1
  • 11
    • 0031138760 scopus 로고    scopus 로고
    • Skew Young diagram method in spectral decomposition of integrable lattice models
    • A. Kirillov, A. Kuniba, and T. Nakanishi, Skew Young diagram method in spectral decomposition of integrable lattice models, Comm. Math. Phys. 185 (1997), 441-465.
    • (1997) Comm. Math. Phys. , vol.185 , pp. 441-465
    • Kirillov, A.1    Kuniba, A.2    Nakanishi, T.3
  • 12
    • 0003233797 scopus 로고
    • Symmetric Functions and Hall Polynomials
    • The Oxford Univ. Press, New York
    • I. Macdonald, Symmetric Functions and Hall Polynomials, Oxford Math. Monogr., The Oxford Univ. Press, New York, 1979.
    • (1979) Oxford Math. Monogr.
    • Macdonald, I.1
  • 14
  • 15
    • 0032221398 scopus 로고    scopus 로고
    • Representations of Yangians with Gelfand-Zetlin bases
    • M. Nazarov and V. Tarasov, Representations of Yangians with Gelfand-Zetlin bases, J. Reine Angew. Math. 496 (1998), 181-212.
    • (1998) J. Reine Angew. Math. , vol.496 , pp. 181-212
    • Nazarov, M.1    Tarasov, V.2
  • 16
    • 0001990494 scopus 로고
    • Representations of infinite-dimensional classical groups, limits of enveloping algebras, and Yangians
    • Topics in Representation Theory, Amer. Math. Soc., Providence
    • G. Ol'shanski, "Representations of infinite-dimensional classical groups, limits of enveloping algebras, and Yangians" in Topics in Representation Theory, Adv. Soviet Math. 2, Amer. Math. Soc., Providence, 1991, 1-66.
    • (1991) Adv. Soviet Math. , vol.2 , pp. 1-66
    • Ol'shanski, G.1
  • 17
    • 0031582356 scopus 로고    scopus 로고
    • The orthogonal eigenbasis and norms of eigenvectors in the spin Calogero-Sutherland model
    • K. Takemura and D. Uglov, The orthogonal eigenbasis and norms of eigenvectors in the spin Calogero-Sutherland model, J. Phys A 30 (1997), 3685-3717.
    • (1997) J. Phys A , vol.30 , pp. 3685-3717
    • Takemura, K.1    Uglov, D.2
  • 18
    • 0001202711 scopus 로고
    • Irreducible monodromy matrices for the R-matrix of the XXZ-model and lattice local quantum Hamiltonians
    • V. Tarasov, Irreducible monodromy matrices for the R-matrix of the XXZ-model and lattice local quantum Hamiltonians, Theoret. and Math. Phys. 63 (1985), 440-454.
    • (1985) Theoret. and Math. Phys. , vol.63 , pp. 440-454
    • Tarasov, V.1
  • 19
    • 0000532426 scopus 로고
    • Induced representations of reductive p-adic groups II. On irreducible representations of GL(n)
    • A. Zelevinsky, Induced representations of reductive p-adic groups II. On irreducible representations of GL(n), Ann. Sci. École. Norm. Sup. 13 (1980), 165-210.
    • (1980) Ann. Sci. École. Norm. Sup. , vol.13 , pp. 165-210
    • Zelevinsky, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.