17 citations · 63 across the 39 of their papers we have counts for
5 papers · 1 filter
The defect of weak approximation for a reductive group over a global field
Mikhail Borovoi, Jean-Louis Colliot-Thélène
We compute the defect of weak approximation for a reductive group G over a global field K in terms of the algebraic fundamental group of G.
Computing Galois cohomology of a real linear algebraic group
Mikhail Borovoi, Willem A. de Graaf
Let G be a linear algebraic group, not necessarily connected or reductive, over the field of real numbers R. We describe a method, implemented on computer, to find the first Galois…
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…
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…
Galois cohomology of real quasi-connected reductive groups
Mikhail Borovoi, Andrei A. Gornitskii, Zev Rosengarten
By a quasi-connected reductive group (a term of Labesse) over an arbitrary field we mean an almost direct product of a connected semisimple group and a quasi-torus (a smooth group…