The Combinatorics of the Garsia-Haiman Modules for Hook Shapes

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Several 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.
34 pages; 7 figures

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Representation Theory, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/125507

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703308
 http://arxiv.org/abs/math/0703308

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arXiv