Seidon Alsaody

collaborators

3 papers

math.RA2019

$R$ -triviality of Groups of Type $F_{4}$ Arising from the First Tits Construction

Seidon Alsaody, Vladimir Chernousov, Arturo Pianzola

Any group of type $F_{4}$ is obtained as the automorphism group of an Albert algebra. We prove that such a group is $R$ -trivial whenever the Albert algebra is obtained from the…

math.RA2019

On the Tits-Weiss Conjecture and the Kneser-Tits Conjecture for $E_{7, 1}^{78}$ and $E_{8, 2}^{78}$

Seidon Alsaody, Vladimir Chernousov, Arturo Pianzola

We prove that the structure group of any Albert algebra over an arbitrary field is $R$ -trivial. This implies the Tits-Weiss conjecture for Albert algebras and the Kneser-Tits conje…

math.QA2018

On the Classification of Lie Bialgebras by Cohomological Means

Seidon Alsaody, Arturo Pianzola

We approach the classification of Lie bialgebra structures on simple Lie algebras from the viewpoint of descent and non-abelian cohomology. We achieve a description of the problem…

R-triviality of Groups of Type F4​ Arising from the First Tits Construction

On the Tits-Weiss Conjecture and the Kneser-Tits Conjecture for E7,178​ and E8,278​

On the Classification of Lie Bialgebras by Cohomological Means

$R$ -triviality of Groups of Type $F_{4}$ Arising from the First Tits Construction

On the Tits-Weiss Conjecture and the Kneser-Tits Conjecture for $E_{7, 1}^{78}$ and $E_{8, 2}^{78}$