The order dimension of Bruhat order on infinite Coxeter groups. (Q1773150)
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scientific article; zbMATH DE number 2161265
| Language | Label | Description | Also known as |
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| English | The order dimension of Bruhat order on infinite Coxeter groups. |
scientific article; zbMATH DE number 2161265 |
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The order dimension of Bruhat order on infinite Coxeter groups. (English)
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25 April 2005
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Summary: We give a quadratic lower bound and a cubic upper bound on the order dimension of the Bruhat (or strong) ordering of the affine Coxeter group \(\widetilde A_n\). We also demonstrate that the order dimension of the Bruhat order is infinite for a large class of Coxeter groups.
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order dimensions
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Bruhat ordering
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affine Coxeter groups
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