The Allison-Faulkner construction of $E_8$
Rings and Algebras
2021-02-09 v1
Abstract
We show that the Tits index cannot be obtained by means of the Tits construction over a field with no odd degree extensions. We construct two cohomological invariants, in degrees 6 and 8, of the Tits construction and the more symmetric Allison-Faulkner construction of Lie algebras of type and show that these invariants can be used to detect the isotropy rank.
Keywords
Cite
@article{arxiv.2102.04261,
title = {The Allison-Faulkner construction of $E_8$},
author = {Victor Petrov and Simon W. Rigby},
journal= {arXiv preprint arXiv:2102.04261},
year = {2021}
}