Ordering the symmetric group: why using the Iwahori-Hecke algebra? (Q1126829)
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scientific article; zbMATH DE number 1184374
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ordering the symmetric group: why using the Iwahori-Hecke algebra? |
scientific article; zbMATH DE number 1184374 |
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Ordering the symmetric group: why using the Iwahori-Hecke algebra? (English)
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5 August 1998
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The paper discusses three known ways of describing the Bruhat order on the symmetric group and introduces a fourth. This fourth description employs a distinguished linear basis of the Iwahori-Hecke algebra of the symmetric group and also makes use of the Kazhdan-Lusztig polynomials.
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symmetric group
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Bruhat order
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Kazhdan-Lusztig polynomials
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Bruhat order on the symmetric group
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Iwahori-Hecke algebra
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