nLab
complexification

Contents

Idea

For VV 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.