 Real representation

A real representation of a group $G$ is a homomorphism $G\to \mathrm{GL}(V)$ for a real vector space $V$.

Real representation can refer to different concepts depending on the context in which it is used. Here are a few interpretations: 1. **Mathematics**: In mathematics, particularly in real analysis, a "real representation" often refers to expressing a mathematical object or function explicitly in terms of real numbers. For example, representing complex numbers in terms of their real and imaginary components.