Rational forms of exceptional dual pairs

JOURNAL OF ALGEBRA

卷:422

Article

Loke, Hung Yean¹  Savin, Gordan² 

[1] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

[2] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

关键词: Exceptional algebraic groups;    Dual pairs;    Galois cohomology;   

DOI  :  10.1016/j.jalgebra.2014.08.044

来源: Elsevier

【 摘 要 】

Let g be a simple Lie algebra of type F-4 or E-n defined over a local or global field k of characteristic zero. We show that g can be obtained by the Tits construction from an octonion. algebra O and a cubic Jordan algebra J. In particular, g contains a dual pair h defined over k which is the direct sum of the derivation algebras of O and J. We determine the conjugacy classes of k-forms of h in g. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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