Schur type functions associated with polynomial sequences of binomial type
Abstract
Description
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.
25 pages; added some grammatical revisions; to appear in Selecta Math
25 pages; added some grammatical revisions; to appear in Selecta Math