Isomorphic representations
= Isomorphic representations
Representations $\rho:G\to\operatorname{GL}(V)$ and $\rho':G\to\operatorname{GL}(V')$ are isomorphic when an invertible linear map $T:V\to V'$ intertwines the actions: $T\rho(g)=\rho'(g)T$ for every $g\in G$.