A note about algebras obtained by the Cayley-Dickson process

Details A note about algebras obtained by the Cayley-Dickson process A note about algebras obtained by the Cayley-Dickson process

2010-01-09

arxiv.org/abs/1001.1440v2

Mathematics

Rings and Algebras

This paper has been withdrawn by the author due to some errors. A new version will be update soon

Scientific paper

In this paper, we generalize the concepts of level and sublevels of a composition algebra to algebras obtained by the Cayley-Dickson process. In 1967, R. B. Brown constructed, for every $t\in \Bbb{N},$ a division algebra $A_{t}$ of dimension $2^{t}$ over the power-series field $K\{X_{1},X_{2},...,X_{t}\}.$ This gives us the possibility to construct a division algebra of dimension 2$^{t}$ and prescribed level 2$^{k}$ $ k, t\in \Bbb{N}^{*}.$

Affiliated with

Also associated with

No associations

Rating

A note about algebras obtained by the Cayley-Dickson process does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A note about algebras obtained by the Cayley-Dickson process, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note about algebras obtained by the Cayley-Dickson process will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-580529