Schur type functions associated with polynomial sequences of binomial type
Representation Theory
2008-11-04 v6 Combinatorics
Abstract
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.
Cite
@article{arxiv.0710.0268,
title = {Schur type functions associated with polynomial sequences of binomial type},
author = {Minoru Itoh},
journal= {arXiv preprint arXiv:0710.0268},
year = {2008}
}
Comments
25 pages; added some grammatical revisions; to appear in Selecta Math