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arXiv · 1808.00445

The polytabloid basis expands positively into the web basis

Brendon Rhoades
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Abstract

We show that the transition matrix from the polytabloid basis to the web basis of the irreducible $\mathfrak{S}_{2n}$-representation of shape $(n,n)$ has nonnegative integer entries. This proves a conjecture of Russell and Tymoczko.

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Brendon Rhoades. 2018-08-01. The polytabloid basis expands positively into the web basis. https://doi.org/10.1017/fms.2019.22

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