English

Triality and etale algebras

Rings and Algebras 2010-01-27 v2

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 &#233tale extensions.

Keywords

Cite

@article{arxiv.0912.3405,
  title  = {Triality and etale algebras},
  author = {Max-Albert Knus and Jean-Pierre Tignol},
  journal= {arXiv preprint arXiv:0912.3405},
  year   = {2010}
}
R2 v1 2026-06-21T14:25:08.706Z