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On the growth of Kronecker coefficients (extended abstract)

Briand, E. and Rattan, Amarpreet and Rosas, M. (2017) On the growth of Kronecker coefficients (extended abstract). Proceedings 29th Conference on Formal Power Series and Algebraic Combinatorics 78b ,

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Abstract

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.

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Item Type: Article
Keyword(s) / Subject(s): combinatorics, representation theory
School: Birkbeck Faculties and Schools > Faculty of Business and Law > Birkbeck Business School
Depositing User: Amarpreet Rattan
Date Deposited: 22 Jan 2018 11:50
Last Modified: 10 Apr 2025 13:26
URI: https://eprints.bbk.ac.uk/id/eprint/20854

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