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 H1 (ℝ, G) …

Let G \bfG be a linear algebraic group, not necessarily connected or reductive, over the field
of real numbers R R. We describe a method, implemented on computer, to find the first …

Albert algebras, a specific kind of Jordan algebra, are naturally distinguished objects among
commutative nonassociative algebras and also arise naturally in the context of simple affine …

Let GG be a simple algebraic group over an algebraically closed field k k. Let Γ Γ be a finite
group acting on G G. We classify and compute the local types of (Γ, G) (Γ,G)‐bundles on a …

We describe functorially the first Galois cohomology set H^1(\mathbbR,G) of a connected
reductive algebraic group G over the field \mathbbR of real numbers in terms of a certain …

For a connected linear algebraic group defined over, we compute the component group of
the real Lie group in terms of a maximal split torus. In particular, we recover a theorem of …

For a connected reductive group $ G $ over a local or global field $ K $, we define a
diamond (or power) operation $$(\xi, n)\mapsto\xi^{\Diamond n}\,\colon\, H^ 1 (K, G)\times …

Real non-degenerate two-step nilpotent Lie algebras of dimension eight | European Journal
of Mathematics Skip to main content SpringerLink Account Menu Find a journal Publish with …

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 …

We consider the semisimple orbits of a Vinberg θ-representation. First we take the complex
numbers as base field. By a case by case analysis we show a technical result stating the …