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arXiv · 0706.3251

On tensor products of polynomial representations

Kevin Purbhoo·Stephanie van Willigenburg
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Abstract

We determine the necessary and sufficient combinatorial conditions for which the tensor product of two irreducible polynomial representations of $GL(n,\mathbb{C})$ 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.

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Kevin Purbhoo, Stephanie van Willigenburg. 2007-06-22. On tensor products of polynomial representations. https://doi.org/10.4153/cmb-2008-058-x

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