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arXiv · 1607.08225

A non-Levi branching rule in terms of Littelmann paths

Bea Schumann·Jacinta Torres
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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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Bea Schumann, Jacinta Torres. 2018-05-30. A non-Levi branching rule in terms of Littelmann paths. https://doi.org/10.1112/plms.12175

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