nLab complexification

Contents

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}.

References

Textbook accounts:

See also:

Last revised on September 5, 2023 at 14:58:26. See the history of this page for a list of all contributions to it.