# Contents

## Idea

For $V$ a vector space over the real numbers or some other $\mathbb{R}$-module, its complexification is the tensor product over $\mathbb{R}$ with the complex numbers $\mathbb{C}$: the extension of scalars along the canonical inclusion $\mathbb{R} \hookrightarrow \mathbb{C}$.

Revised on July 17, 2014 05:36:04 by Colin Tan (182.55.187.4)