Galois cohomology and component group of a real reductive group

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 H^1(R,G) in terms of reductive Kac labelings. Moreover, we compute the group of connected components \pi_0 G(R) of the real Lie...

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Veröffentlicht in:	arXiv.org 2022-03
Hauptverfasser:	Borovoi, Mikhail, Timashev, Dmitry A
Format:	Artikel
Sprache:	eng
Schlagworte:	Homology Lie groups Mathematics - Algebraic Geometry Mathematics - Group Theory Mathematics - Number Theory Mathematics - Representation Theory Real numbers
Online-Zugang:	Volltext
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