View Single Post
quasar987
#1
Mar5-12, 06:44 PM
Sci Advisor
HW Helper
PF Gold
quasar987's Avatar
P: 4,771
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.
Phys.Org News Partner Science news on Phys.org
Scientists develop 'electronic nose' for rapid detection of C. diff infection
Why plants in the office make us more productive
Tesla Motors dealing as states play factory poker