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Volumn 60, Issue 2, 2002, Pages 147-156

Polynomial τ-functions of the NLS-Toda hierarchy and the Virasoro singular vectors

Author keywords

Nonlinear Schr dinger equation; Schur functions; Virasoro algebra

Indexed keywords


EID: 0040670080     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1016167008456     Document Type: Article
Times cited : (8)

References (14)
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    • Segal, G.1
  • 2
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    • The Fock representations of the Virasoro algebra and the Hirota equations of the modified KP hierarchies
    • Wakimoto, M. and Yamada, H.: The Fock representations of the Virasoro algebra and the Hirota equations of the modified KP hierarchies, Hiroshima Math. J. 16(2) (1986), 427-441.
    • (1986) Hiroshima Math. J. , vol.16 , Issue.2 , pp. 427-441
    • Wakimoto, M.1    Yamada, H.2
  • 3
    • 0039850781 scopus 로고
    • Polynomial τ-funclions for the AKNS hierarchy
    • Amer. Math. Soc., Providence, RI
    • Sachs, R. L.: Polynomial τ-funclions for the AKNS hierarchy, In: Theta Functions (Bowdoin 1987) Part 1, Proc. Sympos. Pure Math. 49, Amer. Math. Soc., Providence, RI, 1989, pp. 133-141.
    • (1989) Theta Functions (Bowdoin 1987) Part 1, Proc. Sympos. Pure Math. , vol.49 , pp. 133-141
    • Sachs, R.L.1
  • 5
    • 0002630015 scopus 로고
    • Basic representations of affine Lie algebras and dual resonance models
    • Frenkel, I. B. and Kac, V. G.: Basic representations of affine Lie algebras and dual resonance models, Invent. Math. 62(1) (1980/81), 23-66.
    • (1980) Invent. Math. , vol.62 , Issue.1 , pp. 23-66
    • Frenkel, I.B.1    Kac, V.G.2
  • 6
    • 85008279103 scopus 로고
    • Solitons and infinite-dimensional Lie algebras
    • Jimbo, M. and Miwa, T.: Solitons and infinite-dimensional Lie algebras, Publ. Res. Inst. Math. Sci. 19(3) (1983), 943-1001.
    • (1983) Publ. Res. Inst. Math. Sci. , vol.19 , Issue.3 , pp. 943-1001
    • Jimbo, M.1    Miwa, T.2
  • 8
    • 0003137426 scopus 로고
    • The n-component KP hierarchy and representation theory
    • Springer Ser. Nonlinear Dynam., Springer, Berlin
    • Kac, V. G. and van de Leur, J. W.: The n-component KP hierarchy and representation theory. In: Important Developments in Soliton Theory, Springer Ser. Nonlinear Dynam., Springer, Berlin, 1993, pp. 302-343.
    • (1993) Important Developments in Soliton Theory , pp. 302-343
    • Kac, V.G.1    Van De Leur, J.W.2
  • 9
    • 0000148293 scopus 로고
    • Infinite flag varieties and conjugacy theorems
    • Peterson, D. H. and Kac, V. G.: Infinite flag varieties and conjugacy theorems, Proc. Natl. Acad. Sci. USA 80(6i) (1983), pp. 1778-1782.
    • (1983) Proc. Natl. Acad. Sci. USA , vol.80 , Issue.6 I , pp. 1778-1782
    • Peterson, D.H.1    Kac, V.G.2
  • 12
    • 0003556131 scopus 로고
    • with contributions by A. Zelevinsky, Oxford Math. Monogr., Clarendon Press, New York
    • Macdonald, I. G.: Symmetric Functions and Hall Polynomials, 2nd edn with contributions by A. Zelevinsky, Oxford Math. Monogr., Clarendon Press, New York, 1995.
    • (1995) Symmetric Functions and Hall Polynomials, 2nd Edn
    • Macdonald, I.G.1
  • 13
    • 0001073962 scopus 로고
    • Contravariant form for the infinite-dimensional Lie algebras and super-algebras
    • Springer, New York
    • Kac, V. G.: Contravariant form for the infinite-dimensional Lie algebras and super-algebras. In: Lecture Notes in Phys. 94, Springer, New York, 1979, pp. 441-445.
    • (1979) Lecture Notes in Phys. , vol.94 , pp. 441-445
    • Kac, V.G.1
  • 14
    • 0002370916 scopus 로고
    • Representations of affine Lie algebras, Hecke modular forms and Korteweg-de Vries type equations
    • Lie Algebras and Related Topics (New Brunswick, N.J., 1981), Springer, New York
    • Frenkel, I. B.: Representations of affine Lie algebras, Hecke modular forms and Korteweg-de Vries type equations, In: Lie Algebras and Related Topics (New Brunswick, N.J., 1981), Lecture Notes in Math. 933, Springer, New York, 1982, pp. 71-110.
    • (1982) Lecture Notes in Math. , vol.933 , pp. 71-110
    • Frenkel, I.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.