Computing the first Galois cohomology set of a reductive algebraic group

Abstract: 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 $H^1(G,R)$ 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.

quantum algebrarings and algebras

Audience: researchers in the topic

European Non-Associative Algebra Seminar