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- W1667592137 abstract "We give a combinatorial proof of the factorization formula of modified Macdonald polynomials $widetilde{H}_{lambda} (X;q,t)$ when $t$ is specialized at a primitive root of unity. Our proof is restricted to the special case where $lambda$ is a two columns partition. We mainly use the combinatorial interpretation of Haiman, Haglund and Loehr giving the expansion of $widetilde{H}_{lambda} (X;q,t)$ on the monomial basis. Nous présentons une preuve combinatoire de la formule de factorisation des polynômes de Macdonald modifiés $widetilde{H}_{lambda} (X;q,t)$ quand $t$ est spécialisé à une racine primitive de l'unité. Notre preuve se restreint au cas particulier des partitions $lambda$ n'ayant que deux colonnes. On utilise principalement l'interprétation combinatoire de Haglund, Haiman and Loehr donnant le développement de $widetilde{H}_{lambda} (X;q,t)$ sur la base des fonctions monomiales." @default.
- W1667592137 created "2016-06-24" @default.
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- W1667592137 date "2008-01-01" @default.
- W1667592137 modified "2023-10-18" @default.
- W1667592137 title "A bijective proof of a factorization formula for Macdonald polynomials at roots of unity" @default.
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- W1667592137 doi "https://doi.org/10.46298/dmtcs.3593" @default.
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