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arXiv · 1605.07135

On a conjecture by Naito-Sagaki: Littelmann paths and Littlewood-Richardson Sundaram tableaux

Jacinta Torres
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Abstract

We prove a special case of 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. We propose and motivate an approach to the conjecture in general, in terms of Littlewood-Richardson Sundaram tableaux.

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Jacinta Torres. 2016-05-23. On a conjecture by Naito-Sagaki: Littelmann paths and Littlewood-Richardson Sundaram tableaux. https://arxiv.org/abs/1605.07135

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