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Root space decomposition of [formula omitted] from octonions.
- Source :
-
Journal of Pure & Applied Algebra . Oct2018, Vol. 222 Issue 10, p3036-3042. 7p. - Publication Year :
- 2018
-
Abstract
- We describe a simple way to write down explicit derivations of octonions that form a Chevalley basis of g 2 . This uses the description of octonions as a twisted group algebra of the finite field F 8 . Generators of Gal ( F 8 / F 2 ) act on the roots as 120-degree rotations and complex conjugation acts as negation. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00224049
- Volume :
- 222
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of Pure & Applied Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 129373342
- Full Text :
- https://doi.org/10.1016/j.jpaa.2017.11.012