Triality and étale algebras
(2010) Quadratic Forms, Linear Algebraic Groups, and Cohomology — ISBN: [978-1-4419-6210-2], p. 259-286, published
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- Abstract
- Trialitarian automorphisms are related to automorphisms of order 3 of the Dynkin diagram of type D4. Octic étale algebras with trivial discriminant containing quartic subalgebras are classified by Galois cohomology with values in the Weyl group of type D4. This paper discusses triality for such étale extensions.
- Affiliations
Eidgenössische Technische Hochschule Zürich Departement Mathematik
Citations
Knus, M.-A., & Tignol, J.-P. (2010). Triality and étale algebras. In Jean-Louis Colliot-Thélène (ed.), Quadratic Forms, Linear Algebraic Groups, and Cohomology (p. p. 259-286). Springer. https://doi.org/10.1007/978-1-4419-6211-9_16