The left cells of the Coxeter group of type \(H_ 4\) (Q1820864)
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scientific article; zbMATH DE number 3995964
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The left cells of the Coxeter group of type \(H_ 4\) |
scientific article; zbMATH DE number 3995964 |
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The left cells of the Coxeter group of type \(H_ 4\) (English)
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1987
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Let W be the Coxeter group of type \(H_ 4\). The author gives an explicit description for the left and two-sided cells of W as sets. He also establishes several properties of these cells, these properties were proved in certain crystallographic cases by Lusztig. The proofs of all the above results are based on the calculation of all the Kazhdan-Lusztig polynomials \(P_{y,w}\), y, \(w\in W\), by a computer.
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Coxeter group
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cells
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Kazhdan-Lusztig polynomials
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