7 citations · 29 across the 32 of their papers we have counts for
18 papers · 1 filter
-triviality of Groups of Type Arising from the First Tits Construction
Seidon Alsaody, Vladimir Chernousov, Arturo Pianzola
Any group of type is obtained as the automorphism group of an Albert algebra. We prove that such a group is -trivial whenever the Albert algebra is obtained from the…
On the Tits-Weiss Conjecture and the Kneser-Tits Conjecture for and
Seidon Alsaody, Vladimir Chernousov, Arturo Pianzola
We prove that the structure group of any Albert algebra over an arbitrary field is -trivial. This implies the Tits-Weiss conjecture for Albert algebras and the Kneser-Tits conje…
Conjugacy of Cartan subalgebras in EALAs with a non-fgc centreless core
Vladimir Chernousov, Erhard Neher, Arturo Pianzola
We establish the conjugacy of Cartan subalgebras for extended affine Lie algebras whose centreless core is "of type A", i.e., matrices over a quantum torus Q whose trace lies in th…
On conjugacy of Cartan subalgebras in non-fgc Lie tori
Vladimir Chernousov, Erhard Neher, Arturo Pianzola
We establish the conjugacy of Cartan subalgebras for generic Lie tori "of type A". This is the only conjugacy problem of Lie tori related to Extended Affine Lie Algebras that remai…
On conjugacy of Cartan subalgebras in extended affine Lie algebras
Vladimir Chernousov, Erhard Neher, Arturo Pianzola +1
That finite-dimensional simple Lie algebras over the complex numbers can be classified by means of purely combinatorial and geometric objects such as Coxeter-Dynkin diagrams and in…
A classification of torsors over Laurent polynomial rings
Vladimir Chernousov, Philippe Gille, Arturo Pianzola
Let R\_n be the ring of Laurent polynomials in n variables over a field k of characteristic zero and let K\_n be its fraction field.Given a linear algebraic k-group , we show th…