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Volumn 204, Issue 2, 2006, Pages 530-538

An elliptic generalization of Schur's Pfaffian identity

Author keywords

Determinant; Elliptic function; Pfaffian; Schur function

Indexed keywords


EID: 33745856964     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2005.05.022     Document Type: Article
Times cited : (15)

References (12)
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  • 2
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    • Über die elliptischen Funktionen zweiter Art
    • Frobenius G. Über die elliptischen Funktionen zweiter Art. J. für die reine und ungew. Math. 93 (1882) 53-68
    • (1882) J. für die reine und ungew. Math. , vol.93 , pp. 53-68
    • Frobenius, G.1
  • 3
    • 0347239346 scopus 로고    scopus 로고
    • Pfaffian identities: a combinatorial approach
    • Hamel A.M. Pfaffian identities: a combinatorial approach. J. Combin. Theory Ser. A 94 (2001) 205-217
    • (2001) J. Combin. Theory Ser. A , vol.94 , pp. 205-217
    • Hamel, A.M.1
  • 4
    • 33745822910 scopus 로고    scopus 로고
    • M. Ishikawa, S. Okada, H. Tagawa, J. Zeng, Generalizations of Cauchy's determinant and Schur's Pfaffian, arXiv:math.CO/0411280.
  • 5
    • 33745826417 scopus 로고    scopus 로고
    • M. Ishikawa, M. Wakayama, Applications of the minor summation formula III : Plücker relations, lattice paths and Pfaffians, arXiv:math.CO/0312358.
  • 6
    • 1042279873 scopus 로고    scopus 로고
    • Multiple elliptic hypergeometric series: an approach from the Cauchy determinant
    • Kajiwara Y., and Noumi M. Multiple elliptic hypergeometric series: an approach from the Cauchy determinant. Indag. Math. (NS) 14 (2003) 395-421
    • (2003) Indag. Math. (NS) , vol.14 , pp. 395-421
    • Kajiwara, Y.1    Noumi, M.2
  • 7
    • 0013209330 scopus 로고    scopus 로고
    • D. Knuth, Overlapping Pfaffians, Electron. J. Combin. 3(2) ("The Foata Festschrift") (1996) 151-163.
  • 9
    • 0000403467 scopus 로고    scopus 로고
    • Applications of minor-summation formulas to rectangular-shaped representations of classical groups
    • Okada S. 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
  • 10
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    • E.M. Rains, Transformations of elliptic hypergeometric integrals, arXiv:math.QA/0309252.
  • 11
    • 84943473850 scopus 로고
    • Über die Darstellung der symmetrischen und der alternirenden Gruppe durch gebrochene lineare Substitutuionen
    • Schur I. Über die Darstellung der symmetrischen und der alternirenden Gruppe durch gebrochene lineare Substitutuionen. J. Reine Angew. Math. 139 (1911) 155-250
    • (1911) J. Reine Angew. Math. , vol.139 , pp. 155-250
    • Schur, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.