Schur type functions associated with polynomial sequences of binomial type

Autor:	Itoh, Minoru
Rok vydání:	2007
Předmět:	Mathematics - Representation Theory Mathematics - Combinatorics 05E05 05A40 17B35 15A15
Druh dokumentu:	Working Paper
Popis:	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. Comment: 25 pages; added some grammatical revisions; to appear in Selecta Math
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0710.0268 Zobrazit plný text záznamu View this record from Arxiv