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Root space decomposition of [formula omitted] from octonions.

Authors :
Basak, Tathagata
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]

Subjects

Subjects :
*MATHEMATICAL decomposition
*CAYLEY numbers (Algebra)
*CHEVALLEY groups
*FINITE fields
*GROUP algebras

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
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