Isotropy of some quadratic forms and its applications on levels and sublevels of algebras

Abstract

In this paper, we give some properties of the levels and sublevels of algebras obtained by the Cayley-Dickson process. We will emphasize how isotropy of some quadratic forms can influence the levels and sublevels of algebras obtained by the Cayley-Dickson process.

arXiv commentPublished in JMS:AA, December 2011. repairs arXiv:1101.5237

Cited by in corpus (2)

• Some remarks about the levels and sublevels of algebras obtained by the Cayley-Dickson process
• Values for the levels and sublevels of algebras obtained by the Cayley-Dickson process