Rational forms of exceptional dual pairs
Representation Theory
2014-11-13 v2 Number Theory
Abstract
We show that every exceptional Lie algebra over a number field can be obtained by Tits' construction from an octonion algebra O and a cubic Jordan algebra J. In particular, the exceptional Lie algebra contains a dual pair which is the direct sum of the derivation algebras of O and J. We determine rational forms of this dual pair.
Keywords
Cite
@article{arxiv.1212.1957,
title = {Rational forms of exceptional dual pairs},
author = {Hung Yean Loke and Gordan Savin},
journal= {arXiv preprint arXiv:1212.1957},
year = {2014}
}