Two variable Pfaffian identities and symmetric functions (Q1915158)
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scientific article; zbMATH DE number 887239
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two variable Pfaffian identities and symmetric functions |
scientific article; zbMATH DE number 887239 |
Statements
Two variable Pfaffian identities and symmetric functions (English)
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17 February 1997
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The author proves identities for the Pfaffians \[ \text{Pf} \left( {y_i - y_j \over x_i + x_j} \right) \quad \text{and} \quad \text{Pf} \left( {y_i - y_j \over 1 + x_i x_j} \right) \] and then explores various special cases which give identities involving Pfaffians and Schur functions. One corollary is the explicit expansion of the plethysm \(p_2 \circ s_{k^n}\) into Schur functions.
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Pfaffians
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Schur functions
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plethysm
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