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

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DOI

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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     title = {On {Tensor} {Products} of {Polynomial} {Representations}},
     journal = {Canadian mathematical bulletin},
     pages = {584--592},
     year = {2008},
     volume = {51},
     number = {4},
     doi = {10.4153/CMB-2008-058-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-058-x/}
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