Volume no :12, Issue no: 2, December (2011)

Journal of Mathematical Sciences: Advances and Applications

ISOTROPY OF SOME QUADRATIC FORMS AND ITS APPLICATIONS ON LEVELS AND SUBLEVELS OF ALGEBRAS

Author's: CRISTINA FLAUT
Pages: [97] - [117]
Received Date: October 9, 2011
Submitted by:

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 on algebras obtained by the Cayley-Dickson process.

Keywords

Cayley-Dickson process, division algebra, level and sublevel of an algebra.