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Volumn 26, Issue 8-10, 1997, Pages 149-159

Symmetric functions, tableaux decompositions and the fermion-boson correspondence

Author keywords

Determinant; Fermion boson; Tableau; Vertex; Wick's theorem

Indexed keywords

INTEGRATION; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; SOLITONS;

EID: 0031257392     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0895-7177(97)00203-3     Document Type: Conference Paper
Times cited : (2)

References (23)
  • 1
    • 0002197536 scopus 로고
    • Realization of the basic representations of the Euclidean Lie algebras
    • V.G. Kac, D.A. Kazhdan, J. Lepowsky and R.L. Wilson, Realization of the basic representations of the Euclidean Lie algebras, Adv. in Math. 42, 83-112 (1981).
    • (1981) Adv. in Math. , vol.42 , pp. 83-112
    • V.g, K.1    Kazhdan, D.A.2    Lepowsky, J.3    Wilson, R.L.4
  • 2
    • 0002630015 scopus 로고
    • Basic representations of affine lie algebras and dual resonance models
    • I.B. Frenkel and V.G. Kac, Basic representations of affine Lie algebras and dual resonance models, Invent. Math. 62, 23-66 (1980).
    • (1980) Invent. Math. , vol.62 , pp. 23-66
    • Frenkel, I.B.1    Kac, V.G.2
  • 3
    • 33744722285 scopus 로고
    • Unitary representations of some infinite-dimensional groups
    • G. Segal, Unitary representations of some infinite-dimensional groups, Commun. Math. Phys. 80, 301-342 (1981).
    • (1981) Commun. Math. Phys. , vol.80 , pp. 301-342
    • Segal, G.1
  • 4
    • 0000218323 scopus 로고
    • Two constructions of affine Lie algebra representations and the fermion-boson correspondence in quantum field theory
    • I.B. Frenkel, Two constructions of affine Lie algebra representations and the fermion-boson correspondence in quantum field theory, J. Funct. Anal. 44, 259-327 (1981).
    • (1981) J. Funct. Anal. , vol.44 , pp. 259-327
    • Frenkel, I.B.1
  • 5
    • 85008279103 scopus 로고
    • Solitons and infinite-dimensional Lie algebras
    • M. Jimbo and T. Miwa, Solitons and infinite-dimensional Lie algebras, Publ. RIMS, Kyoto Univ. 19, 943-1001 (1983).
    • (1983) Publ. RIMS, Kyoto Univ. , vol.19 , pp. 943-1001
    • Jimbo, M.1    Miwa, T.2
  • 6
    • 0001056353 scopus 로고
    • n
    • n, J. Alg. 138, 340-398 (1991).
    • (1991) J. Alg. , vol.138 , pp. 340-398
    • Jing, N.1
  • 7
    • 0001443775 scopus 로고
    • Vertex operators and Hall-Littlewood symmetric functions
    • N. Jing, Vertex operators and Hall-Littlewood symmetric functions, Adv. Math. 87, 226-248 (1991).
    • (1991) Adv. Math. , vol.87 , pp. 226-248
    • Jing, N.1
  • 8
    • 0343852273 scopus 로고
    • The schur function realization of vertex operators
    • P.D. Jarvis and C.M. Yung, The Schur function realization of vertex operators, Lett. Math. Phys. 26, 115-122 (1992).
    • (1992) Lett. Math. Phys. , vol.26 , pp. 115-122
    • Jarvis, P.D.1    Yung, C.M.2
  • 9
    • 21144481588 scopus 로고
    • Vertex operators and composite supersymmetric S-functions
    • P.D. Jarvis and C.M. Yung, Vertex operators and composite supersymmetric S-functions, J. Phys. A: Math. Gen. 26, 1881-1900 (1993).
    • (1993) J. Phys. A: Math. Gen. , vol.26 , pp. 1881-1900
    • Jarvis, P.D.1    Yung, C.M.2
  • 10
    • 21344482898 scopus 로고
    • Symmetric functions and the KP and BKP hierarchies
    • P.D. Jarvis and C.M. Yung, Symmetric functions and the KP and BKP hierarchies, J. Phys. A: Math. Gen. 26, 5905-5922 (1993).
    • (1993) J. Phys. A: Math. Gen. , vol.26 , pp. 5905-5922
    • Jarvis, P.D.1    Yung, C.M.2
  • 12
    • 0343416300 scopus 로고
    • Hall-littlewood functions and orthogonal polynomials
    • S.V. Kerov, Hall-Littlewood functions and orthogonal polynomials, Funct. Anal. Appl. 25, 65-66 (1991).
    • (1991) Funct. Anal. Appl. , vol.25 , pp. 65-66
    • Kerov, S.V.1
  • 14
    • 0012743155 scopus 로고
    • On some identities of Schur Q-functions
    • Y. You, On some identities of Schur Q-functions, J. Alg. 145, 349-377 (1992).
    • (1992) J. Alg. , vol.145 , pp. 349-377
    • You, Y.1
  • 15
    • 21344479512 scopus 로고
    • Determinantal forms for composite Schur and Q-functions via the boson-fermion correspondence
    • P.D. Jarvis and C.M. Yung, Determinantal forms for composite Schur and Q-functions via the boson-fermion correspondence, J. Phys. A: Math. Gen. 27, 903-914 (1994).
    • (1994) J. Phys. A: Math. Gen. , vol.27 , pp. 903-914
    • Jarvis, P.D.1    Yung, C.M.2
  • 16
    • 21844497626 scopus 로고
    • Symmetric function products and plethysms and the boson-fermion correspondence
    • T.H. Baker, Symmetric function products and plethysms and the boson-fermion correspondence, J. Phys. A: Math. Gen. 28, 589-606 (1995).
    • (1995) J. Phys. A: Math. Gen. , vol.28 , pp. 589-606
    • Baker, T.H.1
  • 17
    • 21844483349 scopus 로고
    • Planar decompositions of tableaux and Schur function determinants
    • A.M. Hamel and I.P. Goulden, Planar decompositions of tableaux and Schur function determinants, Europ. J. of Combin 16, 461-477 (1995).
    • (1995) Europ. J. of Combin , vol.16 , pp. 461-477
    • Hamel, A.M.1    Goulden, I.P.2
  • 18
    • 0030209807 scopus 로고    scopus 로고
    • Pfaffians and determinants for Schur Q-functions
    • A.M. Hamel, Pfaffians and determinants for Schur Q-functions, Journal of Combinatorial Theory A 75, 328-340 (1996).
    • (1996) Journal of Combinatorial Theory A , vol.75 , pp. 328-340
    • Hamel, A.M.1
  • 19
    • 0031479017 scopus 로고    scopus 로고
    • Determinantal forms for symplectic and orthogonal Schur functions
    • A.M. Hamel, Determinantal forms for symplectic and orthogonal Schur functions, Can. J. Math. 49, 263-282 (1997).
    • (1997) Can. J. Math. , vol.49 , pp. 263-282
    • Hamel, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.