On the largest Kronecker and Littlewood--Richardson coefficients
Combinatorics
2018-04-26 v2 Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1804.04693,
title = {On the largest Kronecker and Littlewood--Richardson coefficients},
author = {Igor Pak and Greta Panova and Damir Yeliussizov},
journal= {arXiv preprint arXiv:1804.04693},
year = {2018}
}
Comments
27 pages