APPLICATIONS OF MINOR-SUMMATION FORMULA .1. LITTLEWOODS FORMULAS

Citation
M. Ishikawa et al., APPLICATIONS OF MINOR-SUMMATION FORMULA .1. LITTLEWOODS FORMULAS, Journal of algebra, 183(1), 1996, pp. 193-216
Citations number
13
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
ISSN journal
00218693
Volume
183
Issue
1
Year of publication
1996
Pages
193 - 216
Database
ISI
SICI code
0021-8693(1996)183:1<193:AOMF.L>2.0.ZU;2-X
Abstract
The first and the third authors obtained a minor-summation formula of Pfaffian, which expresses a weighted sum of miners of any rectangular matrix in terms of a single Pfaffian. In this paper, as an application of this minor-summation formula, we give a new proof of Littlewood's formulas with additional parameters and generalize them for the classi cal groups. (C) 1996 Academic Press, Inc.