Abstract
We discuss algebraic spinors as elements of a minimal left ideal of the Clifford algebra and observe their factorization property as a ‘column times row’ in an arbitrary irreducible faithful matrix representation. This allows us to parametrize the set of primitive idempotents and the set of minimal left ideals, and find the dimensionality of the intersection of any minimal left with a minimal right ideal. We propose to generalize Cartan's concept of pure spinors to arbitrary linear spaceRp, q orCn.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.