… 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 H1(R, G) in terms of Kac …

… ) semisimple R-group G in terms of Kac 2-labelings. As an example, in Section 5 we compute,
using Kac 2-labelings, the Galois cohomology … compact simply connected group G of type …

… (or semisimple) group we always mean a connected reductive (or semisimple) group. The …
Our t corresponds to the black vertex of the Kac diagram (a Kac diagram of type III has exactly …

… (R, G) in terms of reductive Kac labelings. Moreover, we compute the … ], we computed the
Galois cohomology set H1 G for an R-group G when G is semisimple (not necessarily simply …

… {R}}\)-groups. Recently this result was … Galois cohomology of all semisimple groups, and by
Nair and Prasad in their article [14] on cohomological representations of real reductive groups…

… reductive groups are assumed to be connected. We are interested in the Galois cohomology
… Let G be a semisimple group defined over a local or global field K. We say that G has the …

… of Kac gives H1(R,G), and hence the H1 for all semisimple R-… of Kac gives H1(R,G), and
hence the H1 for all semisimple R-… A Kac labeling of an extended Dynkin diagram D is a family …

… Galois cohomology set H1(R,G) of a connected reductive algebraic group G over the field R
of real … Let h = k+p be a Cartan decomposition of the real semisimple Lie algebra h = Lie H. …

… In this paper by a semisimple or reductive group we always … based on the notion of a Kac
diagram, permitting one to … We denote the abelian group of labelings of D by L ( D ) . We …

… (Kv,G) for the Galois cohomology of the adjoint group G. (Over … of Kac. The talk was based
on the recent preprints [6] and [7]. … groups of type F4 or E6, and for some semisimple groups). …