17 citations · 63 across the 39 of their papers we have counts for
7 papers · 1 filter
Galois cohomology and component group of a real reductive group
Mikhail Borovoi, Dmitry A. Timashev
Let G be a connected reductive group over the field of real numbers R. Using results of our previous joint paper, we compute combinatorially the first Galois cohomology set H^1(R,G…
Classification of real trivectors in dimension nine
Mikhail Borovoi, Willem A. de Graaf, Hông Vân Lê
We classify real trivectors in dimension 9. The corresponding classification over the field C of complex numbers was obtained by Vinberg and Elashvili in 1978. One of the main tool…
Quasi-connected reductive groups
Mikhail Borovoi, Andrei A. Gornitskii, Zev Rosengarten
We introduce the notion of a quasi-connected reductive group over an arbitrary field to be an almost direct product of a connected semisimple group and a quasi-torus (a smooth grou…
Real points in a homogeneous space of a real algebraic group
Mikhail Borovoi
Let G be a linear algebraic group over the field of real numbers R, and let Y be a right homogeneous space of G. We wish to find a real point of Y or to prove that Y has no real po…
Real graded Lie algebras, Galois cohomology, and classification of trivectors in R^9
Mikhail Borovoi, Willem A. de Graaf, Hông Vân Lê
In this paper we classify real trivectors in dimension 9. The corresponding classification over the field C of complex numbers was done by Vinberg and Elashvili in 1978. One of the…
Taking quotient by a unipotent group induces a homotopy equivalence
Mikhail Borovoi, Andrei Gornitskii
Let U be a unipotent group over the field of complex numbers C, acting on a complex algebraic variety X. Assume that there exists a surjective morphism of complex algebraic varieti…