The classification of multiplicity-free plethysms of Schur functions

arxiv(2020)

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摘要
We classify and construct all multiplicity-free plethystic products of Schur functions. We also compute many new (infinite) families of plethysm coefficients, with particular emphasis on those near maximal in the dominance ordering and those of small Durfee size.
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关键词
Symmetric functions,plethystic products,Schur functions,multiplicity-free products,representations of symmetric groups
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