Tensor polynomial identities
Rings and Algebras
2022-09-13 v1
Abstract
Tensor polynomial identities generalize the concept of polynomial identities on matrices to identities on tensor product spaces. Here we completely characterize a certain class of tensor polynomial identities in terms of their associated Young tableaux. Furthermore, we provide a method to evaluate arbitrary alternating tensor polynomials in variables.
Cite
@article{arxiv.2011.04362,
title = {Tensor polynomial identities},
author = {Felix Huber and Claudio Procesi},
journal= {arXiv preprint arXiv:2011.04362},
year = {2022}
}
Comments
14 pages, 1 figure, 3 tables