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}.

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