Permutations with Kazhdan-Lusztig polynomial P_{id,w}(q) = 1 + q^h

Alexander Woo; Jonathan Weed; Sara Billey

arxiv: 0809.2374 · v1 · pith:2GMPOAYVnew · submitted 2008-09-13 · 🧮 math.AG · math.CO

Permutations with Kazhdan-Lusztig polynomial P_(id,w)(q) = 1 + q^h

Alexander Woo , Sara Billey , Jonathan Weed This is my paper

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keywords kazhdan-lusztigpermutationspolynomialbilleybradencalculatingcharacterizingconjecture

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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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Permutations with Kazhdan-Lusztig polynomial P_(id,w)(q) = 1 + q^h

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