The Combinatorics of the Garsia-Haiman Modules for Hook Shapes

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dc.creatorAdin, Ron M.
dc.creatorRemmel, Jeffrey B.
dc.creatorRoichman, Yuval
dc.date2007-03-11
dc.date.accessioned2026-07-07T07:51:25Z
dc.date.available2026-07-07T07:51:25Z
dc.descriptionSeveral bases of the Garsia-Haiman modules for hook shapes are given, as well as combinatorial decomposition rules for these modules. These bases and rules extend the classical ones for the coinvariant algebra of type $A$. We also give a decomposition of the Garsia-Haiman modules into descent representations.
dc.description34 pages; 7 figures
dc.identifierhttps://arxiv.org/abs/math/0703308
dc.identifierhttp://arxiv.org/abs/math/0703308
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125507
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.titleThe Combinatorics of the Garsia-Haiman Modules for Hook Shapes
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