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arXiv · 1212.1957

Rational forms of exceptional dual pairs

Hung Yean Loke·Gordan Savin
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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.

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Hung Yean Loke, Gordan Savin. 2014-11-12. Rational forms of exceptional dual pairs. https://arxiv.org/abs/1212.1957

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