Applications of minor-summation formula II. Pfaffians and Schur polynomials

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:88

Article

Ishikawa, M ; Wakayama, M

关键词: Pfaffian;    generating function;    Schur polynomial;    character;    partition;   

DOI  :  10.1006/jcta.1999.2988

来源: Elsevier

【 摘 要 】

The purpose of this paper is, to establish, by extensive use of the minor summation formula of pfaffians exploited in (lshikawa, Okada, and Wakayama, J. Algebra 183, 193-216) certain new generating functions involving Schur polynomials which have a product representation. This generating function gives an extension of the Littlewood formula. During the course of the proof we develop some techniques for computing sub-Pfaffians of a given skew-symmetric matrix. After the proof. we present an open problem which generalizes our formula. (C) 1999 Academic Press.

【 授权许可】

Free