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math.CO2013
Bijections for the Shi and Ish arrangements
Emily Leven, Brendon Rhoades, Andrew Timothy Wilson
The {\sf Shi hyperplane arrangement} Shi(n) was introduced by Shi to study the Kazhdan-Lusztig cellular structure of the affine symmetric group. The {\sf Ish hyperplane arrangement…
math.CO2013
A refinement of the Shuffle Conjecture with cars of two sizes and
Angela Hicks, Emily Leven
The original Shuffle Conjecture of Haglund et al. has a symmetric function side and a combinatorial side. The symmetric function side may be simply expressed as …