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math.RT2024★ 1 cited
The charge statistic in type A via the Affine Grassmannian
Leonardo Patimo
We give a new construction of Lascoux-Schüetzenberger's charge statistic in type A which is motivated by the geometric Satake equivalence. We obtain a new formula for the charge st…
math.RT2024
The atomic Leibniz rule
Ben Elias, Hankyung Ko, Nicolas Libedinsky +1
The Demazure operator associated to a simple reflection satisfies the twisted Leibniz rule. In this paper we introduce a generalization of the twisted Leibniz rule for the Demazure…
math.RT2024
Singular Light Leaves
Ben Elias, Hankyung Ko, Nicolas Libedinsky +1
For any Coxeter system we introduce the concept of singular light leaves, answering a question of Williamson raised in 2008. They provide a combinatorial basis for Hom spaces betwe…