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

ASJC Scopus subject areas

  • Algebra and Number Theory

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