Article ID Journal Published Year Pages File Type
8897375 Journal of Pure and Applied Algebra 2018 7 Pages PDF
Abstract
We describe a simple way to write down explicit derivations of octonions that form a Chevalley basis of g2. This uses the description of octonions as a twisted group algebra of the finite field F8. Generators of Gal(F8/F2) act on the roots as 120-degree rotations and complex conjugation acts as negation.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
,