Tableaux statistics for two part Macdonald polynomials

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dc.creatorLapointe, L.
dc.creatorMorse, J.
dc.date1998-12-01
dc.date.accessioned2026-07-07T05:27:03Z
dc.date.available2026-07-07T05:27:03Z
dc.descriptionThe Macdonald polynomials expanded in terms of a modified Schur function basis have coefficients called the $q,t$-Kostka polynomials. We define operators to build standard tableaux and show that they are equivalent to creation operators that recursively build the Macdonald polynomials indexed by two part partitions. We uncover a new basis for these particular Macdonald polynomials and in doing so are able to give an explicit description of their associated $q,t$-Kostka coefficients by assigning a statistic in $q$ and $t$ to each standard tableau.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/9812001
dc.identifierhttp://arxiv.org/abs/math/9812001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77782
dc.subjectCombinatorics
dc.subjectQuantum Algebra
dc.subject05Exx
dc.titleTableaux statistics for two part Macdonald polynomials
dc.typetext

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