The partition algebra and the Kronecker coefficients

De Visscher, M., Bowman, C. & Orellana, R. (2015). The partition algebra and the Kronecker coefficients. Transactions of the American Mathematical Society, 367, pp. 3647-3667. doi: 10.1090/S0002-9947-2014-06245-4

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Abstract

We propose a new approach to study the Kronecker coefficients by using the Schur-Weyl duality between the symmetric group and the partition algebra. We explain the limiting behaviour and associated bounds in the context of the partition algebra. Our analysis leads to a uniform description of the reduced Kronecker coefficients when one of the indexing partitions is a hook or a two-part partition.

Item Type: Article
Additional Information: First published in Transactions of the American Mathematical Society in volume 367, published by the American Mathematical Society
Subjects: Q Science > QA Mathematics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/7548

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