8 citations · 18 across the 10 of their papers we have counts for
11 papers
On the orbit space of a maximal compact subgroup on a spherical homogeneous variety
Dmitry A. Timashev
Let be a spherical homogeneous variety for a complex reductive algebraic group . We prove that the orbit space of under the action of a maximal compact subgroup $K\s…
On Picard Number and Dimension of Algebraic Homogeneous Spaces
Ivan Beldiev, Dmitry Timashev
An algebraic variety is called a homogeneous space if there exists a transitive regular action of an algebraic group on . We prove inequalities between the dimension of a ho…
Computation of the component group of an arbitrary real algebraic group
Dmitry A. Timashev
We compute explicitly the group of connected components of the real Lie group for an arbitrary (not necessarily linear) connected algebraic group…
On the component group of a real reductive group
Dmitry A. Timashev
For a connected linear algebraic group defined over , we compute the component group of the real Lie group in terms of a maximal…
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…
Galois cohomology of real semisimple groups via Kac labelings
Mikhail Borovoi, Dmitry A. Timashev
For a connected semisimple group G over the field of real numbers R, using a method of Onishchik and Vinberg, we compute the first Galois cohomology set H^1(R,G) in terms of Kac la…