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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… Click to show full abstract
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.
Keywords:
space decomposition;
root space;
decomposition octonions
Journal Title: Journal of Pure and Applied Algebra
Year Published: 2017
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Journal Title: Journal of Pure and Applied Algebra
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!