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Triality and étale algebras

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Knus, Max-Albert [Eidgenössische Technische Hochschule Zürich] Tignol, Jean-Pierre [UCL]

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.

Document type Contribution à ouvrage collectif (Book Chapter) – Chapitre
Access type Accès restreint
Publication date 2010
Language Anglais
Host document Jean-Louis Colliot-Thélène, Skip Garibaldi, R. Sujatha, Venapally Suresh, eds ; "Quadratic Forms, Linear Algebraic Groups, and Cohomology"- p. 259-286 (ISBN : 978-1-4419-6210-2)
Collection Developments in Mathematics - 18
Publisher Springer (New York Dordrecht Heidelberg London)
Publication status Publié
Affiliations Eidgenössische Technische Hochschule Zürich - Departement Mathematik
UCL - SST/ICTM/INMA - Pôle en ingénierie mathématique
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Bibliographic reference Knus, Max-Albert ; Tignol, Jean-Pierre. Triality and étale algebras. In: Jean-Louis Colliot-Thélène, Quadratic Forms, Linear Algebraic Groups, and Cohomology, Springer  : New York Dordrecht Heidelberg London 2010, p. 259-286
Permanent URL http://hdl.handle.net/2078.1/77236