Applications of minor-summation formula. I: Littlewood's formulas (Q1921905)
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scientific article; zbMATH DE number 923679
| Language | Label | Description | Also known as |
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| English | Applications of minor-summation formula. I: Littlewood's formulas |
scientific article; zbMATH DE number 923679 |
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Applications of minor-summation formula. I: Littlewood's formulas (English)
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11 March 1997
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A minor-summation formula of a Pfaffian expressing a weighted sum of minors of any rectangular matrix in terms of a single Pfaffian was obtained by \textit{M. Ishikawa} and \textit{M. Wakayama} [Linear Multilinear Algebra 39, No. 3, 285-305 (1995; Zbl 0830.15011)]. The authors use this formula to obtain a new proof of Littlewood's formulas with additional parameters and also generalize them for classical groups.
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partitions
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minor-summation formula
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Pfaffian
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Littlewood's formulas
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