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math.RT2009★ 102 cited
Crystals from categorified quantum groups
Aaron D. Lauda, Monica Vazirani
We study the crystal structure on categories of graded modules over algebras which categorify the negative half of the quantum Kac-Moody algebra associated to a symmetrizable Carta…
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…