The representation-theoretic Mathieu conjecture for symmetric powers
Let A=⨁n∈NSdnCN⊗Sk(CN)∗A=\bigoplus_{n\in {\mathbb{N}}}S^{dn}{\mathbb{C}}^N\otimes S^k({\mathbb{C}}^N)^*A=⨁n∈NSdnCN⊗Sk(CN)∗ be a graded SL(N,C)SL(N,{\mathbb{C}})SL(N,C)-algebra. Let P+P^+P+ denote the set of dominant highest weight…