Permutations with Kazhdan-Lusztig polynomial $ P_id,w(q)=1+q^h$
Using resolutions of singularities introduced by Cortez and a method for calculating Kazhdan-Lusztig polynomials due to Polo, we prove the conjecture of Billey and Braden characterizing permutations w with Kazhdan-Lusztig polynomial$ P_id,w(q)=1+q^h$ for some $h$.
| 出版年: | Discrete Mathematics & Theoretical Computer Science |
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| 第一著者: | |
| フォーマット: | 論文 |
| 言語: | 英語 |
| 出版事項: |
Discrete Mathematics & Theoretical Computer Science
2009-01-01
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| 主題: | |
| オンライン・アクセス: | https://dmtcs.episciences.org/2705/pdf |
| 要約: | Using resolutions of singularities introduced by Cortez and a method for calculating Kazhdan-Lusztig polynomials due to Polo, we prove the conjecture of Billey and Braden characterizing permutations w with Kazhdan-Lusztig polynomial$ P_id,w(q)=1+q^h$ for some $h$. |
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| ISSN: | 1365-8050 |
