The partition algebra and the Kronecker coefficients

By C. Bowman, M. Visscher, Rosa C. Orellana. 2012

69 citations recorded by the source corpus.

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.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/fa45878e70f32c61406a9bd0aa4fa31ee79de481

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In Discrete Mathematics and Combinatorics

1. Benson Farb

In Geometry and Topology

1. Benson Farb
2. Jenny Wilson
3. Andrew Putman
4. Jason A. Behrstock
5. Thomas Church
6. Samuel J. Taylor
7. Wen-yuan Yang
8. Steven V. Sam

In Mathematical Physics

1. Benson Farb
2. Jenny Wilson
3. Thomas Church
4. Andrew Putman
5. Samuel J. Taylor
6. Wen-yuan Yang
7. Steven V. Sam
8. K. Whyte

Citations in the corpus

• Representation Stability (2014, background): “See, for example, [3] and the references contained therein.”