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Volumn 4, Issue 1, 2000, Pages 69-80

Elementary proofs of identities for Schur functions and plane partitions

Author keywords

Plane partitions; Schur functions

Indexed keywords


EID: 0034380289     PISSN: 13824090     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1009882007093     Document Type: Article
Times cited : (6)

References (17)
  • 1
    • 84972496677 scopus 로고
    • Plane partitions (II): The equivalence of Bender-Knuth and MacMahon conjectures
    • G. Andrews, "Plane partitions (II): the equivalence of Bender-Knuth and MacMahon conjectures," Pacific J. Math. 72(1977)283-291.
    • (1977) Pacific J. Math. , vol.72 , pp. 283-291
    • Andrews, G.1
  • 3
    • 0002245361 scopus 로고
    • Enumeration of plane partitions
    • E.A. Bender and D. Knuth, "Enumeration of plane partitions," J. Combinatorial Th. 13 (1972) 40-54.
    • (1972) J. Combinatorial Th. , vol.13 , pp. 40-54
    • Bender, E.A.1    Knuth, D.2
  • 4
    • 0000995701 scopus 로고    scopus 로고
    • Elementary proof of MacMahon's conjecture
    • D.M. Bressoud, "Elementary proof of MacMahon's conjecture," J. Algebraic Comb. 7 (1998) no. 3, 253-257.
    • (1998) J. Algebraic Comb. , vol.7 , Issue.3 , pp. 253-257
    • Bressoud, D.M.1
  • 6
    • 0011565421 scopus 로고
    • Enumeration of certain Young tableaux with bounded heights
    • Combinaloire Énumérative (G. Labelle and P. Leroux, eds.), Springer-Verlag
    • M. DeSainte-Catherine and G.X. Viennot, "Enumeration of certain Young tableaux with bounded heights," Combinaloire Énumérative (G. Labelle and P. Leroux, eds.), Lecture Notes in Mathematics, Vol. 1234, Springer-Verlag, 1986, pp. 58-67.
    • (1986) Lecture Notes in Mathematics , vol.1234 , pp. 58-67
    • DeSainte-Catherine, M.1    Viennot, G.X.2
  • 8
    • 0039070129 scopus 로고
    • Une generalisation des formules de Gordon et de MacMahon
    • J. Désarménien, "Une generalisation des formules de Gordon et de MacMahon," C. R. Acad. Sci. Paris Series I. Math. 309 (1989) no. 6, 269-272.
    • (1989) C. R. Acad. Sci. Paris Series I. Math. , vol.309 , Issue.6 , pp. 269-272
    • Désarménien, J.1
  • 9
    • 0040253980 scopus 로고
    • Notes on plane partitions, V
    • B. Gordon, "Notes on Plane Partitions, V," J. Comb. Th., Series B 11 (1971) 157-168.
    • (1971) J. Comb. Th., Series B , vol.11 , pp. 157-168
    • Gordon, B.1
  • 10
    • 0000824310 scopus 로고    scopus 로고
    • Applications of minor-summation formula II, Pfafhians and Schur polynomials
    • M. Ishikawa and M. Wakayama, "Applications of minor-summation formula II, Pfafhians and Schur polynomials," J. Combinatorial Th. Ser. A 88 (1999) no. 1, 136-157.
    • (1999) J. Combinatorial Th. Ser. A , vol.88 , Issue.1 , pp. 136-157
    • Ishikawa, M.1    Wakayama, M.2
  • 11
    • 0039835549 scopus 로고    scopus 로고
    • Identities for classical group characters of nearly rectangular shape
    • to appear
    • C. Krattenthaler, "Identities for classical group characters of nearly rectangular shape," J. Algebra, to appear.
    • J. Algebra
    • Krattenthaler, C.1
  • 12
    • 0000085407 scopus 로고
    • Geometry of G/P-IV (standard monomial theory for classical types)
    • V. Lakshmibai, C. Musili, and C.S. Seshadri, "Geometry of G/P-IV (Standard monomial theory for classical types)," Proc. Indian Acad. Sci. 88A (1979) 279-362.
    • (1979) Proc. Indian Acad. Sci. , vol.88 A , pp. 279-362
    • Lakshmibai, V.1    Musili, C.2    Seshadri, C.S.3
  • 14
    • 0040848379 scopus 로고
    • Partitions of numbers whose graphs possess symmetry
    • P.A. MacMahon "Partitions of numbers whose graphs possess symmetry," Trans. Cambridge Phil. Soc. 17 (1898-99) 149-170.
    • (1898) Trans. Cambridge Phil. Soc. , vol.17 , pp. 149-170
    • MacMahon, P.A.1
  • 15
    • 0000403467 scopus 로고    scopus 로고
    • Applications of minor summation formulas to rectangular-shaped representations of classical groups
    • S. Okada, "Applications of minor summation formulas to rectangular-shaped representations of classical groups." J. Algebra 205 (1998) 337-367.
    • (1998) J. Algebra , vol.205 , pp. 337-367
    • Okada, S.1
  • 16
    • 85011025701 scopus 로고
    • New symmetric plane partition identities from invariant theory work of De Concini and Procesi
    • R.A. Proctor, "New symmetric plane partition identities from invariant theory work of De Concini and Procesi," European J. Cambin. 11 (1990) no. 3, 289-300.
    • (1990) European J. Cambin , vol.11 , Issue.3 , pp. 289-300
    • Proctor, R.A.1
  • 17
    • 0001666494 scopus 로고
    • Hall-Littlewood functions, plane partitions, and the Rogers-Ramanujan identities
    • J.R. Stembridge, "Hall-Littlewood functions, plane partitions, and the Rogers-Ramanujan identities," Trans. AMS 319 (1990) no. 2, 469-498
    • (1990) Trans. Ams , vol.319 , Issue.2 , pp. 469-498
    • Stembridge, J.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.