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math.GR2020
Galois cohomology of real semisimple groups via Kac labelings
Mikhail Borovoi, Dmitry A. Timashev
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 H^1(R,G) in terms of Kac la…
math.GR2015★ 2 cited
Galois cohomology of real semisimple groups
Mikhail Borovoi, Dmitry A. Timashev
Let G be a connected, compact, semisimple algebraic group over the field of real numbers R. Using Kac diagrams, we describe combinatorially the first Galois cohomology sets H^1(R,H…