Bowman, Christopher, De Visscher, Maud, Orellana, Rosa (2015) The partition algebra and the Kronecker coefficients. Transactions of the American Mathematical Society, 367 (5). pp. 3647-3667. ISSN 0002-9947. (doi:10.1090/S0002-9947-2014-06245-4) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:70129)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: https://doi.org/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 |
|---|---|
| DOI/Identification number: | 10.1090/S0002-9947-2014-06245-4 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Christopher Bowman |
| Date Deposited: | 16 Nov 2018 11:40 UTC |
| Last Modified: | 20 May 2025 11:39 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/70129 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Bowman, Christopher.
| Creator's ORCID: |
 https://orcid.org/0000-0001-6046-8930
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