We prove a special case of a conjecture of Naito-Sagaki about a branching
rule for the restriction of irreducible representations of
sl(2n,C) to sp(2n,C). The
conjecture is in terms of certain Littelmann paths, with the embedding given by
the folding of the type A2n−1 Dynkin diagram. We propose and motivate an
approach to the conjecture in general, in terms of Littlewood-Richardson
Sundaram tableaux.Comment: 13 pages. Comments welcom