On the largest Kronecker and Littlewood–Richardson coefficients

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On the largest Kronecker and Littlewood–Richardson coefficients

Pak, Igor; Panova, Greta; Yeliussizov, Damir

Journal of combinatorial theory. Series A, July 2019, 2019-07-00, Volume: 165

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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.

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Pak, Igor | Panova, Greta | Yeliussizov, Damir

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