A non-Levi branching rule in terms of Littelmann paths

30 May 2018  ·  Schumann Bea, Torres Jacinta ·

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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Representation Theory Combinatorics