Applications of minor-summation formula I. Littlewood's formulas

Masao Ishikawa, Soichi Okada, Masato Wakayama

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

The first and the third authors obtained a minor-summation formula of Pfaffian, which expresses a weighted sum of minors 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 classical groups.

Original languageEnglish
Pages (from-to)193-216
Number of pages24
JournalJournal of Algebra
Volume183
Issue number1
DOIs
Publication statusPublished - Jul 1 1996
Externally publishedYes

Fingerprint

Summation Formula
Minor
Pfaffian
Classical Groups
Weighted Sums
Express
Generalise

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Applications of minor-summation formula I. Littlewood's formulas. / Ishikawa, Masao; Okada, Soichi; Wakayama, Masato.

In: Journal of Algebra, Vol. 183, No. 1, 01.07.1996, p. 193-216.

Research output: Contribution to journalArticle

Ishikawa, Masao ; Okada, Soichi ; Wakayama, Masato. / Applications of minor-summation formula I. Littlewood's formulas. In: Journal of Algebra. 1996 ; Vol. 183, No. 1. pp. 193-216.
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