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Branching rules of minuscule representations via a new partial order
Published Web Location
https://doi.org/10.5070/C66165689Abstract
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.
Mathematics Subject Classifications: 06A07, 05E10, 06A11
Keywords: Antichain, distributive lattice, minuscule representation, branching rule