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arXiv:1804.04693 [math.CO]AbstractReferencesReviewsResources

On the largest Kronecker and Littlewood--Richardson coefficients

Igor Pak, Greta Panova, Damir Yeliussizov

Published 2018-04-12Version 1

We give new bounds and asymptotic estimates for Kronecker and Littlewood--Richardson coefficients. Notably, we resolve Stanley's questions on the shape of partitions attaining the largest Kronecker and Littlewood--Richardson coefficients. We apply the results to asymptotics of the number of standard Young tableaux of skew shapes.

Comments: 25 pages
Categories: math.CO, math.RT
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