Physics – Mathematical Physics
Scientific paper
2011-04-03
Physics
Mathematical Physics
Scientific paper
The classification of real Clifford algebras in terms of matrix algebras is well--known. Here we consider the real Clifford algebra ${\mathcal Cl}(r,s)$ not as a matrix algebra, but as a Clifford module over itself. We show that ${\mathcal Cl}(r,s)$ possesses a basis independent complex structure only when the square of the volume element $\omega$ is -1, in which case it is uniquely given up to sign by right multiplication with $\omega$.
No associations
LandOfFree
Complex structure of a real Clifford algebra does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Complex structure of a real Clifford algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complex structure of a real Clifford algebra will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-131961