Tensor polynomial identities

Abstract

Tensor polynomial identities generalize the concept of polynomial identities on $d\times d$ 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 $d^2$ variables.

14 pages, 1 figure, 3 tables

References in corpus (2)

• Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
• Positive maps and trace polynomials from the symmetric group

Cited by in corpus (1)

• A note on the Weingarten function