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math.CO2020
Duality and bicrystals on infinite binary matrices
Thomas Gerber, Cédric Lecouvey
The set of finite binary matrices of a given size is known to carry a finite type A bicrystal structure. We first review this classical construction, explain how it yields a short…
math.CO2020
Cores of Ariki-Koike algebras
Nicolas Jacon, Cédric Lecouvey
We study a natural generalization of the notion of cores for l-partitions attached with a multi-charge s Z^l : the (e, s)-cores. We rely them both to the combinatorics and th…