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Mathematics > Representation Theory

arXiv:math/0703308 (math)
[Submitted on 11 Mar 2007]

Title:The Combinatorics of the Garsia-Haiman Modules for Hook Shapes

Authors:Ron M. Adin, Jeffrey B. Remmel, Yuval Roichman
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Abstract: 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.
Comments: 34 pages; 7 figures
Subjects: Representation Theory (math.RT); Combinatorics (math.CO)
Cite as: arXiv:math/0703308 [math.RT]
  (or arXiv:math/0703308v1 [math.RT] for this version)
  https://doi.org/10.48550/arXiv.math/0703308

Submission history

From: Yuval Roichman [view email]
[v1] Sun, 11 Mar 2007 19:54:55 UTC (42 KB)
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