A Schur-Weyl Duality Approach to Walking on Cubes

Georgia Benkart, Dongho Moon

Walks on the representation graph ${\mathcal{R}}_{\mathsf{V}}(\mathsf{G})$ determined by a group $\mathsf{G}$ and a $\mathsf{G}$-module $\mathsf{V}$ are related to the centralizer alg…