Pieri's formula for generalized Schur polynomials

HANDLE オープンアクセス

この論文をさがす

抄録

Young's lattice, the lattice of all Young diagrams, has the Robinson-Schensted-Knuth correspondence, the correspondence between certain matrices and pairs of semi-standard Young tableaux with the same shape. Fomin introduced generalized Schur operators to generalize the Robinson-Schensted-Knuth correspondence. In this sense, generalized Schur operators are generalizations of semi-standard Young tableaux. We define a generalization of Schur polynomials as expansion coefficients of generalized Schur operators. We show that the commutating relation of generalized Schur operators implies Pieri's formula to generalized Schur polynomials.

収録刊行物

関連プロジェクト

もっと見る

詳細情報 詳細情報について

  • CRID
    1050564288949762048
  • NII論文ID
    120000952644
  • NII書誌ID
    AA10868319
  • ISSN
    15729192
    09259899
  • HANDLE
    2115/33803
  • 本文言語コード
    en
  • 資料種別
    journal article
  • データソース種別
    • IRDB
    • CiNii Articles
    • KAKEN

問題の指摘

ページトップへ