Adding an implementation of the Abreu-Nigro symmetric functions #39988
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@darijgr You might be interested in this. However, when writing doctests for my code, I came across a counterexample to Conjecture 1.5 in the Huh et al. paper mentioned above and contradicts the results in that paper. So I think there is a bug in my implementation somewhere, but I don't see where right now. If you have time, please take a look. |
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Documentation preview for this PR (built with commit ed64730; changes) is ready! 🎉 |
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Okay, fixed. I forgot/missed that Hessenberg functions need to be weakly increasing. |
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Following the definition given in (2.2) of https://arxiv.org/abs/2504.09123, we implement the Abreu-Nigro symmetric functions$g_{H,k}(x; q)$ , where $H$ is a Hessenberg function. To do so, we also implement their $\rho$ basis.
⌛ Dependencies