Galois cohomology of real semisimple groups via Kac labelings

2020/08/26 by Mikhail Borovoi, Borovoi, Mikhail, Dmitry A. Timashev +1
Mathematics · #11E72 #20G10 #20G20 #Algebraic Geometry (math.AG) #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #math.AG #math.GR #math.RT #msc:11E72 #msc:20G10 #msc:20G20

paper · pdf · doi:10.48550/arxiv.2008.11763

This preprint supersedes arXiv:1506.06252. V.1, 35 pages. V.2, 36 pages, final version to appear in Transformation Groups

arxiv created 2021/01/07 · arxiv updated 2021/01/08

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.

Citations

• Galois cohomology of real semisimple groups

Related

• Galois cohomology of real semisimple groups
• Galois Cohomology of Real Groups
• Galois cohomology of reductive groups over global fields
• R'esolutions flasques des groupes lin'eaires connexes
• Galois cohomology of real quasi-connected reductive groups