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arXiv · 1210.5579

The partition algebra and the Kronecker coefficients

Christopher Bowman·Maud De Visscher·Rosa Orellana
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Abstract

We propose a new approach to study the Kronecker coefficients by using the Schur-Weyl duality between the symmetric group and the partition algebra. We explain the limiting behavior and associated bounds in the context of the partition algebra. Our analysis leads to a uniform description of the Kronecker coefficients when one of the indexing partitions is a hook or a two-part partition.

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Christopher Bowman, Maud De Visscher, Rosa Orellana. 2013-02-25. The partition algebra and the Kronecker coefficients. https://arxiv.org/abs/1210.5579

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