Triality and etale algebras

2009/12/17 by Max-Albert Knus, Jean-Pierre Tignol, Knus, Max-Albert +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.0912.3405

openalex publication_date 2009/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Trialitarian automorphisms are related to automorphisms of order 3 of the Dynkin diagram of type D4. Octic etale algebras with trivial discriminant, containing quartic subalgebras, are classified by Galois cohomology with value in the Weyl group of type D4. This paper discusses triality for such étale extensions.

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