Geodesic
Plane partitions and characters of the symmetric group
Journal of Algebraic Combinatorics, Tome 11 (2000) no. 1, pp. 79-88.

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Summary: In this paper we show that the existence of plane partitions, which are minimal in a sense to be defined, yields minimal irreducible summands in the Kronecker product $chi^{ $lambda$}otimeschi ^$ mgr of two irreducible characters of the symmetric group $S(n)$. The minimality of the summands refers to the dominance order of partitions of n. The multiplicity of a minimal summand $chi ^$ ngr equals the number of pairs of Littlewood-Richardson multitableaux of shape ( $lambda, mgr$), conjugate content and type $ngr$. We also give lower and upper bounds for these numbers.
Keywords: Kronecker product, character of symmetric group, dominance order of partition, tableau 
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Vallejo, Ernesto. Plane partitions and characters of the symmetric group. Journal of Algebraic Combinatorics, Tome 11 (2000) no. 1, pp. 79-88. http://geodesic.mathdoc.fr/item/JAC_2000__11_1_a0/