Classification of extended Clifford algebras
Nikolay Marchuk

TL;DR
This paper classifies extended Clifford algebras formed from tensor products of commutative and real Clifford algebras, identifying five types and demonstrating their closure under tensor product operations.
Contribution
It introduces a classification of extended Clifford algebras into five types and proves their closure properties under tensor products.
Findings
Five types of extended Clifford algebras identified
Extended Clifford algebras are closed under tensor product
Provides a structural framework for these algebras
Abstract
Considering tensor products of special commutative algebras and general real Clifford algebras, we arrive at extended Clifford algebras. We have found that there are five types of extended Clifford algebras. The class of extended Clifford algebras is closed with respect to the tensor product.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
