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The partition algebra and the Kronecker coefficients

De Visscher, M., Bowman, C. and 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

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.

Publication 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
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/7548
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