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math.CO2019★ 9 cited
Keys and Demazure crystals for Kac-Moody algebras
Nicolas Jacon, Cédric Lecouvey
The Key map is an important tool in the determination of the Demazure crystals associated to Kac-Moody algebras. In finite type A, it can be computed in the tableau realization of…
math.RT2019
Uglov bipartitions and extended Young diagrams
Nicolas Jacon
We study the class of Uglov bipartitions and prove a generalization of a conjecture by Dipper, James and Murphy. We give two consequences concerning the computation of canonical ba…