Isotropy of some quadratic forms and its applications on levels and   sublevels of algebras
  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. 
Cristina Flaut
math.RA