Geodesic
The combinatorics of the Garsia-Haiman modules for hook shapes
The electronic journal of combinatorics, Tome 15 (2008)
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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.
DOI : 10.37236/762
Classification : 05E10, 05A19, 13A50
Mots-clés : Garsia-Haiman modules, hook shapes, partition, Ferrers diagram 
@article{10_37236_762,
     author = {Ron M. Adin and Jeffrey B. Remmel and Yuval Roichman},
     title = {The combinatorics of the {Garsia-Haiman} modules for hook shapes},
     journal = {The electronic journal of combinatorics},
     year = {2008},
     volume = {15},
     doi = {10.37236/762},
     zbl = {1184.05134},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/762/}
}
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Ron M. Adin; Jeffrey B. Remmel; Yuval Roichman. The combinatorics of the Garsia-Haiman modules for hook shapes. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/762

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