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

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

2008-09-13

arxiv.org/abs/0809.2374v1

Electron. J. Combin. 16 (2009), no. 2, Research Paper 10

Mathematics

Algebraic Geometry

30 pages, 8 figures. Main body is by Woo, appendix by Billey and Weed

Scientific paper

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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