Applications of minor summation formula III, Plücker relations, lattice paths and Pfaffian identities

Masao Ishikawa, Masato Wakayama

研究成果: Contribution to journalArticle査読

23 被引用数 (Scopus)

抄録

The initial purpose of the present paper is to provide a combinatorial proof of the minor summation formula of Pfaffians in [Ishikawa, Wakayama, Minor summation formula of Pfaffians, Linear and Multilinear Algebra 39 (1995) 285-305] based on the lattice path method. The second aim is to study applications of the minor summation formula for obtaining several identities. Especially, a simple proof of Kawanaka's formula concerning a q-series identity involving the Schur functions [Kawanaka, A q-series identity involving Schur functions and related topics, Osaka J. Math. 36 (1999) 157-176] and of the identity in [Kawanaka, A q-Cauchy identity involving Schur functions and imprimitive complex reflection groups, Osaka J. Math. 38 (2001) 775-810] which is regarded as a determinant version of the previous one are given.

本文言語英語
ページ(範囲)113-155
ページ数43
ジャーナルJournal of Combinatorial Theory. Series A
113
1
DOI
出版ステータス出版済み - 1 2006
外部発表はい

All Science Journal Classification (ASJC) codes

  • 理論的コンピュータサイエンス
  • 離散数学と組合せ数学
  • 計算理論と計算数学

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