On tensor products of polynomial representations

Details On tensor products of polynomial representations On tensor products of polynomial representations

2007-06-22

arxiv.org/abs/0706.3251v1

Mathematics

Combinatorics

9 pages; final version to appear in Canad. Math. Bull

Scientific paper

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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