Thumbnail
Access Restriction
Open

Author Flaut, Cristina
Source arXiv.org
Content type Text
File Format PDF
Date of Submission 2010-01-09
Language English
Subject Domain (in DDC) Natural sciences & mathematics ♦ Mathematics
Subject Keyword Mathematics - Rings and Algebras ♦ 17A35 ♦ 17A45 ♦ 17A20 ♦ 17A75 ♦ math
Abstract 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}^{*}.$
Educational Use Research
Learning Resource Type Article


Open content in new tab

   Open content in new tab