Some Graded Identities of The Cayley-Dickson Algebra

Fernando Henry

Some Graded Identities of The Cayley-Dickson Algebra

Rings and Algebras 2012-05-24 v1

Authors: Fernando Henry

Abstract

We work to find a basis of graded identities for the octonion algebra. We do so for the $\mathbb{Z}_2^2$ and $\mathbb{Z}_2^3$ gradings, both of them derived of the Cayley-Dickson process, the later grading being possible only when the characteristic of the scalars is not two.

Keywords

Cayley-Dickson algebra octonion algebra graded identities Z_2^2 grading Z_2^3 grading

Cite

@article{arxiv.1205.5057,
  title  = {Some Graded Identities of The Cayley-Dickson Algebra},
  author = {Fernando Henry},
  journal= {arXiv preprint arXiv:1205.5057},
  year   = {2012}
}

Related papers

View all related →