The combinatorics of the Garsia-Haiman modules for hook shapes (Q1010748)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The combinatorics of the Garsia-Haiman modules for hook shapes |
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The combinatorics of the Garsia-Haiman modules for hook shapes (English)
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7 April 2009
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Summary: 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.
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Garsia-Haiman modules
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hook shapes
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partition
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Ferrers diagram
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