Triality and etale algebras

Details Triality and etale algebras Triality and etale algebras

2009-12-17

arxiv.org/abs/0912.3405v2

Mathematics

Rings and Algebras

Scientific paper

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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