Invariance properties for coefficients of symmetric functions

Discrete Mathematics & Theoretical Computer Science(2015)

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摘要
We show that several of the main structural constants for symmetric functions (Littlewood-Richardsoncoefficients, Kronecker coefficients, plethysm coefficients, and the Kostka–Foulkes polynomials) share invarianceproperties related to the operations of taking complements with respect to rectangles and adding rectangles.
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关键词
kostka coefficients,plethysm coefficients,kronecker coefficients,littlewood-richardson coefficients,[info.info-dm] computer science [cs]/discrete mathematics [cs.dm]
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