Implement the Potts representation of the partition algebra #37619
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I allowed myself to add a very small reviewer commit. ok ? |
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Documentation preview for this PR (built with commit d89102f; changes) is ready! 🎉 |
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@fchapoton Yes, good with me. |
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Merci! |
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The Potts representation is an important representation of the partition algebra$P_n(d)$ (say, over a field of characteristic 0) that corresponds to the Schur-Weyl duality with the symmetric group $S_d$ . We provide an implementation of this representation, both as a left $S_d$ -module and right $P_n(d)$ -module. (If $n$ is a half integer, then we only have a $S_{d-1}$ -module.)
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⌛ Dependencies