Séminaire Lotharingien de Combinatoire, 78B.70 (2017), 12 pp.
Emmanuel Briand, Amarpreet Rattan and Mercedes Rosas
On the Growth of Kronecker Coefficients
We present a new stability phenomenon for Kronecker coefficients,
that we call hook stability: the Kronecker coefficients
stabilize if we add cells to the first row and first column of each of
the indexing partitions, simultaneously. We also show that when we
increase the sizes of the first two rows of their three indexing
partitions, in some appropriate way, the Kronecker coefficients grow
linearly, and we are able to give asymptotic estimates.
Received: November 14, 2016.
Accepted: February 17, 2017.
Final version: April 1, 2017.
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