# restriction representation

Let $\rho:G\longrightarrow\operatorname{GL}(V)$ be a representation on a group $G$. The restriction representation of $\rho$ to a subgroup $H$ of $G$, denoted $\operatorname{Res}^{G}_{H}(V)$, is the representation $\rho|_{H}:H\longrightarrow\operatorname{GL}(V)$ obtained by restricting the function $\rho$ to the subset $H\subset G$.

Title restriction representation RestrictionRepresentation 2013-03-22 12:17:30 2013-03-22 12:17:30 djao (24) djao (24) 4 djao (24) Definition msc 20C99