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 16, 2013 00:30:11 by Urs Schreiber (89.204.139.41)