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) …

Suppose that G is a complex, reductive algebraic group. A real form of G is an
antiholomorphic involutive automorphism σ, so G (R)= G (C) σ is a real Lie group. Write H 1 …

GALOIS COHOMOLOGY OF REAL SEMISIMPLE GROUPS VIA KAC LABELINGS Page 1 c
Springer Science+Business Media New York (2021) GALOIS COHOMOLOGY OF REAL …

For $ E/F $ quadratic extension of local fields and $ G $ a reductive algebraic group over $ F
$, the paper formulates a conjecture classifying irreducible admissible representations of …

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 …

For certain quasi-split reductive groups $ G $ over a general field $ F $, we construct an
automorphism $\iota _G $ of $ G $ over $ F $, well-defined as an element of $\mathrm …

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 main …

Let K be a global field, that is, a number field or a global function field. It is known that the
answer to the question in the title over K is" Yes" when K has no real embeddings. We show …

Let G be a simply connected absolutely simple algebraic group defined over the field of real
numbers R. Let H be a simply connected semisimple R-subgroup of G. We consider the …