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A non-Levi branching rule in terms of Littelmann paths
Published 27 Jul 2016 in math.RT and math.CO | (1607.08225v3)
Abstract: We prove a conjecture of Naito-Sagaki about a branching rule for the restriction of irreducible representations of $\mathfrak{sl}(2n,\mathbb{C})$ to $\mathfrak{sp}(2n,\mathbb{C})$. The conjecture is in terms of certain Littelmann paths, with the embedding given by the folding of the type $A_{2n-1}$ Dynkin diagram.
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