A note on weight systems which are quantum states

Abstract

A result of Corfield, Sati, and Schreiber asserts that ${\mathfrak{gl}}_n$-weight systems associated to the defining representation are quantum states. In this short note we extend this result to all ${\mathfrak{gl}}_n$-weight systems corresponding to labeling by symmetric and exterior powers of the defining representation.

11 pages, 3 figures. Comments are welcome!