23 citations · 29 across the 4 of their papers we have counts for
4 papers
Geometry of symmetric spaces of type EIII
Viktor Petrov, Andrei Semenov
In this paper we generalize Atsuyama result on the geometry of symmetric spaces of type EIII to the case of arbitrary fields of characteristic not 2 or 3. As an application we prov…
Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra
Viktor Petrov, Andrei Semenov
We show that any adjoint absolutely simple linear algebraic group over a field of characteristic zero is the automorphism group of some projector on a central simple algebra. Proje…
Addendum to: Generically split projective homogeneous varieties
Viktor Petrov, Nikita Semenov
In this addendum we generalize some results of our article "Generically split projective homogeneous varieties", Duke Math. J. 152 (2010), no. 1, 155-173. More precisely, we remove…
Higher Tits indices of algebraic groups
Viktor Petrov, Nikita Semenov
Let G be a semisimple algebraic group over a field k. We introduce the higher Tits indices of G as the set of all Tits indices of G over all field extensions K/k. In the context of…