A bijective proof of a factorization formula for Macdonald polynomials at roots of unity

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dc.creatorDescouens, Francois
dc.creatorMorita, Hideaki
dc.creatorNumata, Yasuhide
dc.date2008-03-15
dc.date.accessioned2026-07-07T09:27:04Z
dc.date.available2026-07-07T09:27:04Z
dc.descriptionWe give a combinatorial proof of the factorization formula of modified Macdonald polynomials when the parameter t is specialized at a primitive root of unity. Our proof is restricted to the special case of partitions with 2 columns. We mainly use the combinatorial interpretation of Haglund, Haiman and Loehr giving the expansion of the modified Macdonald polynomials on the monomial basis.
dc.identifierhttps://arxiv.org/abs/0803.2311
dc.identifierhttp://arxiv.org/abs/0803.2311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156972
dc.subjectCombinatorics
dc.titleA bijective proof of a factorization formula for Macdonald polynomials at roots of unity
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