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Applications of Minor-Summation Formula I. Littlewood's Formulas

✍ Scribed by Masao Ishikawa; Soichi Okada; Masato Wakayama

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 233 KB
Volume: 183
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0214

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✦ Synopsis

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.

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