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 $h$.

書誌詳細
出版年:Discrete Mathematics & Theoretical Computer Science
第一著者: Alexander Woo
フォーマット: 論文
言語:英語
出版事項: Discrete Mathematics & Theoretical Computer Science 2009-01-01
主題:
オンライン・アクセス:https://dmtcs.episciences.org/2705/pdf
その他の書誌記述
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 $h$.
ISSN:1365-8050