Consider the complex numbers(adsbygoogle = window.adsbygoogle || []).push({}); Cas an algebra over the realsR. The author of the book I have in front of me (Dirac operators in Riemannian Geometry, p.13) writes

[tex]\mathbb{C}\otimes_{\mathbb{R}}\mathbb{C}=\mathbb{C}\oplus\mathbb{C}[/tex]

(as real algebras). Does anyone know what this canonical algebra isomorphism is??? Obviously, woz -->(w,z) is not even linear.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Algebra isomorphism

Loading...

**Physics Forums | Science Articles, Homework Help, Discussion**