Left cells in affine Weyl groups (Q1326964)
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scientific article; zbMATH DE number 589804
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Left cells in affine Weyl groups |
scientific article; zbMATH DE number 589804 |
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Left cells in affine Weyl groups (English)
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9 November 1994
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We prove a property of left cells in certain crystallographic groups \(W\), by which we formulate an algorithm to find a representative set of left cells of \(W\) in any given two-sided cell (in the sense of Kazhdan-Lusztig). As an illustration, we apply this algorithm to the case when \(W\) is the affine Weyl group of type \(\widetilde F_4\). This algorithm has been used by several authors in the study of Kazhdan-Lusztig cells of \(W\).
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left cells
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crystallographic groups
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algorithms
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two-sided cells
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affine Weyl group of type \(\widetilde F_4\)
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Kazhdan-Lusztig cells
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