Galois cohomology and component group of a real reductive group

Mikhail Borovoi*, Dmitry A. Timashev

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

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) in terms of reductive Kac labelings. Moreover, we compute the group of connected components π 0 G(ℝ) of the real Lie group G(ℝ) and the maps in exact sequences containing π 0 G(ℝ) and H1(ℝ, G).

Original languageEnglish
JournalIsrael Journal of Mathematics
DOIs
StateAccepted/In press - 2023

Funding

FundersFunder number
Moscow Center of Fundamental and Applied Mathematics075-15-2022-284
Russian Foundation for Basic Research20-01-00091
Ministry of Education and Science of the Russian Federation
Israel Science Foundation870/16

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