Alexander Woo
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Permutations with Kazhdan-Lusztig polynomial $ P_id,w(q)=1+q^h$
dmtcs:2705 -
Discrete Mathematics & Theoretical Computer Science,
January 1, 2009,
DMTCS Proceedings vol. AK, 21st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2009)
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https://doi.org/10.46298/dmtcs.2705
Permutations with Kazhdan-Lusztig polynomial $ P_id,w(q)=1+q^h$Article
Authors: Alexander Woo 1
0000-0003-1985-341X
Alexander Woo
1 Department of Mathematics, St. Olaf College, Northfield
Using resolutions of singularities introduced by Cortez and a method for calculating Kazhdan-Lusztig polynomials due to Polo, we prove the conjecture of Billey and Braden characterizing permutations w with Kazhdan-Lusztig polynomial$ P_id,w(q)=1+q^h$ for some $h$.
Vertical Integration of Research and Education in the Mathematical Sciences - VIGRE: Research Focus Groups in Mathematics; Funder: National Science Foundation; Code: 0135345