Proof of two conjectures of Brenti and Simion on Kazhdan-Lusztig polynomials (Q1426825)
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scientific article; zbMATH DE number 2057285
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proof of two conjectures of Brenti and Simion on Kazhdan-Lusztig polynomials |
scientific article; zbMATH DE number 2057285 |
Statements
Proof of two conjectures of Brenti and Simion on Kazhdan-Lusztig polynomials (English)
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15 March 2004
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This paper gives results in the direction of explicit formulae for the Kazhdan-Lusztig polynomials of the symmetric group when the indexing permutations are of particular form. These results imply, in particular, the validity of two conjectures of \textit{F. Brenti} and \textit{R. Simion} [J. Algebr. Comb. 11, 187--196 (2000; Zbl 0958.05138)]. All the proofs are purely combinatorial.
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Kazhdan-Lusztig polynomial
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symmetric group
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Bruhat order
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