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On Tensor Products of Polynomial Representations
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 2008
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