Max-Albert Knus and Jean-Pierre Tignol: Triality and étale algebras

knus@math.ethz.ch, jean-pierre.tignol@uclouvain.be

Submission: 2009, Nov 6

Trialitarian automorphisms are related to automorphisms of order $3$ of the Dynkin diagram of type $D_4$. Octic étale algebras with trivial discriminant, containing quartic subalgebras, are classified by Galois cohomology with value in the Weyl group of type $D_4$. This paper discusses triality for such étale extensions.

2000 Mathematics Subject Classification:

Keywords and Phrases:

Full text: dvi.gz 52 k, dvi 149 k, ps.gz 1200 k, pdf.gz 257 k, pdf 290 k.


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