Bitableaux bases for Garsia-Haiman modules of hollow type

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dc.creatorAllen, Edward E.
dc.creatorCox, Miranda E.
dc.creatorWarrington, Gregory S.
dc.date2006-10-03
dc.date.accessioned2026-07-07T07:28:37Z
dc.date.available2026-07-07T07:28:37Z
dc.descriptionGarsia-Haiman modules are quotient rings in variables X_n={x_1, x_2, ..., x_n} and Y_n=y_1, y_2, ..., y_n} that generalize the quotient ring C[X_n]/I, where I is the ideal generated by the elementary symmetric polynomials e_j(X_n) for 1 <= j <= n. A bitableaux basis for the Garsia-Haiman modules of hollow type is constructed. Applications of this basis to representation theory and other related polynomial spaces are considered.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/math/0610095
dc.identifierhttp://arxiv.org/abs/math/0610095
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117799
dc.subjectCombinatorics
dc.subject05E05
dc.titleBitableaux bases for Garsia-Haiman modules of hollow type
dc.typetext

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