Consider the complex numbers C as an algebra over the reals R. 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.
