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math.CO2007
Leading coefficients of Kazhdan--Lusztig polynomials for Deodhar elements
Brant C. Jones
We show that the leading coefficient of the Kazhdan--Lusztig polynomial known as is always either 0 or 1 when is a Deodhar element of a finite Weyl group.…
math.CO2007★ 1 cited
Kazhdan--Lusztig polynomials for maximally-clustered hexagon-avoiding permutations
Brant C. Jones
We provide a non-recursive description for the bounded admissible sets of masks used by Deodhar's algorithm to calculate the Kazhdan--Lusztig polynomials of type ,…
math.CO2007
The enumeration of maximally clustered permutations
Hugh Denoncourt, Brant C. Jones
The maximally clustered permutations are characterized by avoiding the classical permutation patterns 3421, 4312, and 4321. This class contains the freely-braided permutations and…