On tensor products of polynomial representations
Combinatorics
2019-08-15 v1
Abstract
We determine the necessary and sufficient combinatorial conditions for which the tensor product of two irreducible polynomial representations of 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.
Cite
@article{arxiv.0706.3251,
title = {On tensor products of polynomial representations},
author = {Kevin Purbhoo and Stephanie van Willigenburg},
journal= {arXiv preprint arXiv:0706.3251},
year = {2019}
}