Max-Albert Knus and Jean-Pierre Tignol: Triality and étale algebras,

Submission: 2009, Nov 6

Trialitarian automorphisms are related to automorphisms of order $3$ of the Dynkin diagram of type $D_4$. Octic étale algebras with trivial discriminant, containing quartic subalgebras, are classified by Galois cohomology with value in the Weyl group of type $D_4$. This paper discusses triality for such étale extensions.

2000 Mathematics Subject Classification:

Keywords and Phrases:

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