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math.CO2009
A bijection between dominant Shi regions and core partitions
Susanna Fishel, Monica Vazirani
It is well-known that Catalan numbers count the number of dominant regions in the Shi arrangement of type , and that they also count partitio…
math.CO2008
A bijection on core partitions and a parabolic quotient of the affine symmetric group
Chris Berg, Brant Jones, Monica Vazirani
Let be fixed positive integers. In an earlier work, the first and third authors established a bijection between -cores with first part equal to and -co…