Schur type functions associated with polynomial sequences of binomial type

• Minoru Itoh ^[1]
  1. [1] Kagoshima University

     Kagoshima University

     Japón

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 14, Nº. 2, 2009, págs. 247-274
• Idioma: inglés
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• Resumen

  • We introduce a class of Schur type functions associated with polynomial sequences of binomial type. This can be regarded as a generalization of the ordinary Schur functions and the factorial Schur functions. This generalization satisfies some interesting expansion formulas, in which there is a curious duality. Moreover, this class includes examples which are useful to describe the eigenvalues of Capelli type central elements of the universal enveloping algebras of classical Lie algebras.