The combinatorics of the Garsia-Haiman modules for hook shapes

Ron M. Adin; Jeffrey B. Remmel; Yuval Roichman

doi:10.37236/762

The combinatorics of the Garsia-Haiman modules for hook shapes

Ron M. Adin
, Jeffrey B. Remmel
, Yuval Roichman

Department of Mathematics

University of California at San Diego

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

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.

Original language	English
Article number	R38
Journal	Electronic Journal of Combinatorics
Volume	15
Issue number	1 R
DOIs	https://doi.org/10.37236/762
State	Published - 7 Mar 2008

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The combinatorics of the Garsia-Haiman modules for hook shapes

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