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 $\mathbb{R} \hookrightarrow \mathbb{C}$.

Last revised on July 17, 2014 at 05:36:04. See the history of this page for a list of all contributions to it.