Kostka polynomials and energy functions in solvable lattice models

• A. Nakayashiki ^[1] ; Y. Yamada ^[2]
  1. [1] Kyushu University

     Kyushu University

     Hakata Ku, Japón

     
  2. [2] Kobe University

     Kobe University

     Chuo-ku, Japón

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 3, Nº. 4, 1997, págs. 547-599
• Idioma: inglés
• DOI: 10.1007/s000290050020
• Enlaces
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• Resumen

  • The relation between the charge of Lascoux-Schützenberger and the energy function in solvable lattice models is clarified. As an application, A.N. Kirillov's conjecture on the expression of the branching coefficient of slnˆ/sln of Kostka polynomials is proved.