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Discrete Mathematics & Theoretical Computer Science |
We present a new, explicit sum formula for symmetric Macdonald polynomials Pλ and show that they can be written as a trace over a product of (infinite dimensional) matrices. These matrices satisfy the Zamolodchikov– Faddeev (ZF) algebra. We construct solutions of the ZF algebra from a rank-reduced version of the Yang–Baxter algebra. As a corollary, we find that the normalization of the stationary measure of the multi-species asymmetric exclusion process is a Macdonald polynomial with all variables set equal to one.
Source : ScholeXplorer
IsRelatedTo ARXIV 1205.1471 Source : ScholeXplorer IsRelatedTo DOI 10.1016/j.nuclphysb.2014.06.017 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1205.1471
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