Two permanents in the universal enveloping algebras of the symplectic Lie algebras

Autor:	Itoh, Minoru
Rok vydání:	2007
Předmět:	Mathematics - Representation Theory 17B35 15A15
Druh dokumentu:	Working Paper
Popis:	This paper presents new generators for the center of the universal enveloping algebra of the symplectic Lie algebra. These generators are expressed in terms of the column-permanent, and it is easy to calculate their eigenvalues on irreducible representations. We can regard these generators as the counterpart of central elements of the universal enveloping algebra of the orthogonal Lie algebra given in terms of the column-determinant by A. Wachi. The earliest prototype of all these central elements is the Capelli determinants in the universal enveloping algebra of the general linear Lie algebra. Comment: 30 pages, Minor revision, To appear in Int. J. Math
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0710.0265 Zobrazit plný text záznamu View this record from Arxiv