Christopher Bowman (1), Maud Visscher (2), Rosa Orellana (3)
(1) Institut de Mathématiques de Jussieu - Paris Rive Gauche
(2) Centre for Mathematical Science
(3) Department of Mathematics [Dartmouth]
Partition algebra and Kronecker product
Christopher Bowman (1), Maud Visscher (2), Rosa Orellana (3)
(1) Institut de Mathématiques de Jussieu - Paris Rive Gauche
(2) Centre for Mathematical Science
(3) Department of Mathematics [Dartmouth]
English
We propose a new approach to study the Kronecker coefficients by using the Schur–Weyl duality between the symmetric group and the partition algebra.
French
Nous proposons une nouvelle approche pour l’étude des coefficients de Kronecker via la dualité entre le groupe symétrique et l’algèbre des partitions.
- [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
- Kronecker coefficients
- tensor product
- partition algebra
- representations of the symmetric group
Source: OpenCitations
Invariant operators, orthogonal bases and correlators in general tensor models
Nuclear Physics B
Authors : Pablo Diaz
, Soo-Jong Rey 
Journal reference : Volume 932, 2018, pp. 254-277
DOI : 10.1016/j.nuclphysb.2018.05.013Partition Algebras and the Invariant Theory of the Symmetric Group
Association for Women in Mathematics series
Authors : Georgia Benkart, Tom Halverson
Journal reference : Volume , 2019, pp. 1-41
DOI : 10.1007/978-3-030-05141-9_1