Branching rules of minuscule representations via a new partial order

2024/02/09 by Green, R. M., Xu, Tianyuan
#06A11 #Combinatorics (math.CO) #FOS: Mathematics #Primary: 06A07 #Secondary: 05E10

paper · doi:10.48550/arxiv.2402.06732

Abstract

We introduce a new partial order on the set of all antichains of a fixed size in any poset. When applied to minuscule posets, these partial orders give rise to distributive lattices that appear in the branching rules for minuscule representations of complex simple Lie algebras.

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