Pieri's formula for generalized Schur polynomials

• Numata, Yasuhide

Abstract

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.

Journal

• Journal of Algebraic Combinatorics

  Journal of Algebraic Combinatorics 26 (1), 27-45, 2007-08

  Springer Netherlands

Details

• CRID: 1050564288949762048
• NII Article ID: 120000952644
• NII Book ID: AA10868319
• ISSN: 15729192
• ISSN: 09259899
• HANDLE: 2115/33803
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles
  • KAKEN