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 $h$.

Bibliografiset tiedot
Päätekijä: Alexander Woo
Aineistotyyppi: Artikkeli
Kieli:English
Julkaistu: Discrete Mathematics & Theoretical Computer Science 2009-01-01
Sarja:Discrete Mathematics & Theoretical Computer Science
Aiheet:
Linkit:https://dmtcs.episciences.org/2705/pdf