Geodesic
On Tensor Products of Polynomial Representations
Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 584-592

Voir la notice de l'article provenant de la source Cambridge University Press

We determine the necessary and sufficient combinatorial conditions for which the tensor product of two irreducible polynomial representations of $\text{GL}\left( n,\,\mathbb{C} \right)$ is isomorphic to another. As a consequence we discover families of Littlewood–Richardson coefficients that are non-zero, and a condition on Schur non-negativity.
DOI : 10.4153/CMB-2008-058-x
Mots-clés : 05E05, 05E10, 20C30, polynomial representation, symmetric function, Littlewood–Richardson coefficient, Schur non-negative 
Purbhoo, Kevin; Willigenburg, Stephanie van. On Tensor Products of Polynomial Representations. Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 584-592. doi: 10.4153/CMB-2008-058-x
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