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Combinatorial theory of Macdonald polynomials I: Proof of Haglund's formula

Haglund recently proposed a combinatorial interpretation of the modified Macdonald polynomials H̃(μ). We give a combinatorial proof of this conjecture, which establishes the existence and integrality of H̃(μ). As corollaries, we obtain the cocharge formula of Lascoux and Schützenberger for Hall–Litt...

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Autors principals: Haglund, J., Haiman, M., Loehr, N.
Format: Artigo
Idioma:Inglês
Publicat: National Academy of Sciences 2005
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Accés en línia:https://ncbi.nlm.nih.gov/pmc/articles/PMC549509/
https://ncbi.nlm.nih.gov/pubmed/15650052
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0408497102
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