GALOIS COHOMOLOGY OF REAL SEMISIMPLE GROUPS VIA KAC LABELINGS

M. Borovoi, D. A. Timashev

Research output: Contribution to journalArticlepeer-review

Abstract

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 H1(ℝ;G) in terms of Kac labelings of the affine Dynkin diagram of G.

Original languageEnglish
Pages (from-to)433-477
Number of pages45
JournalTransformation Groups
Volume26
Issue number2
DOIs
StatePublished - Jun 2021

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