Brant Jones

collaborators

2 papers

math.CO2008

A bijection on core partitions and a parabolic quotient of the affine symmetric group

Chris Berg, Brant Jones, Monica Vazirani

Let $ℓ, k$ be fixed positive integers. In an earlier work, the first and third authors established a bijection between $ℓ$ -cores with first part equal to $k$ and $(ℓ - 1)$ -co…

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 $P_{x, w} (q)$ known as $μ (x, w)$ is always either 0 or 1 when $w$ is a Deodhar element of a finite Weyl group.…