Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897375 | Journal of Pure and Applied Algebra | 2018 | 7 Pages |
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
Tathagata Basak,