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A combinatorial model for the Macdonald polynomials

We introduce a polynomial C̃(μ)[Z; q, t], depending on a set of variables Z = z(1), z(2),..., a partition μ, and two extra parameters q, t. The definition of C̃(μ) involves a pair of statistics (maj(σ, μ), inv(σ, μ)) on words σ of positive integers, and the coefficients of the z(i) are manifestly in...

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Bibliografiske detaljer
Hovedforfatter: Haglund, J.
Format: Artigo
Sprog:Inglês
Udgivet: National Academy of Sciences 2004
Fag:
Online adgang:https://ncbi.nlm.nih.gov/pmc/articles/PMC528938/
https://ncbi.nlm.nih.gov/pubmed/15534210
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0405567101
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