In classification problems over the real field ℝ first Galois cohomology sets play an important role, as they often make it possible to classify the orbits of a real Lie group. In this talk we outline an algorithm to compute the first Galois cohomology set H1(G,ℝ) of a complex reductive algebraic group G defined over the real field ℝ. The algorithm is in a large part based on computations in the Lie algebra of G. This is joint work with Mikhail Borovoi.
This video is part of the European Non-Associative Algebra Seminar series.
