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math.RA2021
The Allison-Faulkner construction of
Victor Petrov, Simon W. Rigby
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,…
math.RA2013
A rational construction of Lie algebras of type E_7
Victor Petrov
We give an explicit construction of Lie algebras of type out of a Lie algebra of type with some restrictions. Up to odd degree extensions, every Lie algebra of type $E_…