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math.CO2010★ 2 cited
The Shi arrangement and the Ish arrangement
Drew Armstrong, Brendon Rhoades
This paper is about two arrangements of hyperplanes. The first --- the Shi arrangement --- was introduced by Jian-Yi Shi to describe the Kazhdan-Lusztig cells in the affine Weyl gr…
math.CO2010★ 4 cited
Hyperplane Arrangements and Diagonal Harmonics
Drew Armstrong
In 2003, Haglund's {\sf bounce} statistic gave the first combinatorial interpretation of the -Catalan numbers and the Hilbert series of diagonal harmonics. In this paper we pr…