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Volumn 205, Issue 2, 1998, Pages 337-367

Applications of minor summation formulas to rectangular-shaped representations of classical groups

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EID: 0000403467     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1997.7408     Document Type: Article
Times cited : (78)

References (21)
  • 1
    • 51249191810 scopus 로고
    • Algebraic identities for parafermi statistics of given order
    • A. J. Bracken and H. S. Green, Algebraic identities for parafermi statistics of given order, Nuovo Cimento A 9 (1972), 349-365.
    • (1972) Nuovo Cimento A , vol.9 , pp. 349-365
    • Bracken, A.J.1    Green, H.S.2
  • 2
    • 0039801136 scopus 로고
    • Tableaux and insertion schemes for spinor representations of the orthogonal lie algebras s-fraktur sign o-fraktur sign(2n + 1, ℂ)
    • G. Benkart and J. Stroomer, Tableaux and insertion schemes for spinor representations of the orthogonal Lie algebras s-fraktur sign o-fraktur sign(2n + 1, ℂ), J. Combin. Theory Ser. A 57 (1991), 211-237.
    • (1991) J. Combin. Theory Ser. A , vol.57 , pp. 211-237
    • Benkart, G.1    Stroomer, J.2
  • 3
    • 38249013077 scopus 로고
    • A linear operator for symmetric functions and tableaux in a strip with given trace
    • I. Goulden, A linear operator for symmetric functions and tableaux in a strip with given trace, Discrete Math. 99 (1992), 69-78.
    • (1992) Discrete Math. , vol.99 , pp. 69-78
    • Goulden, I.1
  • 4
    • 0030191470 scopus 로고    scopus 로고
    • Applications of minor-summation formula. I. Littlewood's formulas
    • M. Ishikawa, S. Okada, and M. Wakayama, Applications of minor-summation formula. I. Littlewood's formulas, J. Algebra 183 (1996), 193-216.
    • (1996) J. Algebra , vol.183 , pp. 193-216
    • Ishikawa, M.1    Okada, S.2    Wakayama, M.3
  • 6
    • 0001827112 scopus 로고
    • Minor summation formula of Pfaffians and Schur function identities
    • M. Ishikawa and M. Wakayama, Minor summation formula of Pfaffians and Schur function identities, Proc. Japan Acad. Ser. A 71 (1995), 54-57.
    • (1995) Proc. Japan Acad. Ser. A , vol.71 , pp. 54-57
    • Ishikawa, M.1    Wakayama, M.2
  • 7
    • 38249021554 scopus 로고
    • On the decomposition of tensor products of the representations of the classical groups
    • K. Koike, On the decomposition of tensor products of the representations of the classical groups, Adv. in Math. 74 (1989), 57-86.
    • (1989) Adv. in Math. , vol.74 , pp. 57-86
    • Koike, K.1
  • 9
    • 38249020712 scopus 로고
    • Young diagrammatic methods for the restriction of representations of complex classical lie groups to reductive subgroups of maximal rank
    • K. Koike and I. Terada, Young diagrammatic methods for the restriction of representations of complex classical Lie groups to reductive subgroups of maximal rank, Adv. in Math. 79 (1990), 104-135.
    • (1990) Adv. in Math. , vol.79 , pp. 104-135
    • Koike, K.1    Terada, I.2
  • 10
    • 85030050317 scopus 로고    scopus 로고
    • Identities for classical group characters of nearly rectangular shape
    • in press
    • C. Krattenthaler, Identities for classical group characters of nearly rectangular shape, J. Algebra, in press.
    • J. Algebra
    • Krattenthaler, C.1
  • 12
    • 0002735828 scopus 로고
    • On the generating functions for certain classes of plane partitions
    • S. Okada, On the generating functions for certain classes of plane partitions, J. Combin. Theory Ser. A 51 (1989), 1-23.
    • (1989) J. Combin. Theory Ser. A , vol.51 , pp. 1-23
    • Okada, S.1
  • 13
    • 38248998974 scopus 로고
    • Robinson-Schensted-type algorithms for the spinor representations of the orthogonal lie algebras s-fraktur sign o-fraktur sign(2n, ℂ)
    • S. Okada, Robinson-Schensted-type algorithms for the spinor representations of the orthogonal Lie algebras s-fraktur sign o-fraktur sign(2n, ℂ), J. Algebra 158 (1993), 155-200.
    • (1993) J. Algebra , vol.158 , pp. 155-200
    • Okada, S.1
  • 14
    • 85032070245 scopus 로고
    • Shifted plane partitions of trapezoidal shape
    • R. A. Proctor, Shifted plane partitions of trapezoidal shape, Proc. Amer. Math. Soc. 89 (1983), 553-559.
    • (1983) Proc. Amer. Math. Soc. , vol.89 , pp. 553-559
    • Proctor, R.A.1
  • 15
    • 84989135943 scopus 로고
    • Bruhat lattices, plane partition generating functions, and minuscule representations
    • R. A. Proctor, Bruhat lattices, plane partition generating functions, and minuscule representations, European J. Combin. 5 (1984), 331-350.
    • (1984) European J. Combin. , vol.5 , pp. 331-350
    • Proctor, R.A.1
  • 16
    • 85011025701 scopus 로고
    • New symmetric plane partitions from DeConcini Procesi work
    • R. A. Proctor, New symmetric plane partitions from DeConcini Procesi work, European J. Combin. 11 (1990), 289-300.
    • (1990) European J. Combin. , vol.11 , pp. 289-300
    • Proctor, R.A.1
  • 17
    • 0002566735 scopus 로고
    • Symmetries of plane partitions
    • erratum, J. Combin. Theory Ser. A 44 (1987), 310
    • R. P. Stanley, Symmetries of plane partitions, J. Combin. Theory Ser. A 46 (1986), 103-113; erratum, J. Combin. Theory Ser. A 44 (1987), 310.
    • (1986) J. Combin. Theory Ser. A , vol.46 , pp. 103-113
    • Stanley, R.P.1
  • 18
    • 0002777429 scopus 로고
    • Nonintersecting paths, Pfaffians and plane partitions
    • J. R. Stembridge, Nonintersecting paths, Pfaffians and plane partitions, Adv. in Math. 83 (1990), 96-131.
    • (1990) Adv. in Math. , vol.83 , pp. 96-131
    • Stembridge, J.R.1
  • 19
    • 0001666494 scopus 로고
    • Hall-littlewood symmetric functions and Rogers-Ramanujan identities
    • J. R. Stembridge, Hall-Littlewood symmetric functions and Rogers-Ramanujan identities, Trans. Amer. Math. Soc. 319 (1990), 469-498.
    • (1990) Trans. Amer. Math. Soc. , vol.319 , pp. 469-498
    • Stembridge, J.R.1
  • 21
    • 0000819711 scopus 로고    scopus 로고
    • Two variable pfaffian identities and symmetric functions
    • T. Sundquist, Two variable Pfaffian identities and symmetric functions, J. Alg. Combin. 5 (1996), 135-148.
    • (1996) J. Alg. Combin. , vol.5 , pp. 135-148
    • Sundquist, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.