The left cells of the Coxeter group of type \(H_ 4\) (Q1820864): Difference between revisions
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| Property / cites work: The representations and generic degrees of the Hecke algeba of type H4. / rank | |||
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| Property / cites work: The characters of the hecatonicosahedroidal group. / rank | |||
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| Property / cites work: Representations of Coxeter groups and Hecke algebras / rank | |||
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| Property / cites work: On a theorem of Benson and Curtis / rank | |||
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| Property / cites work: Q4750022 / rank | |||
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| Property / cites work: Q4217748 / rank | |||
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Revision as of 18:11, 17 June 2024
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The left cells of the Coxeter group of type \(H_ 4\) |
scientific article |
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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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