GALOIS COHOMOLOGY OF REAL SEMISIMPLE GROUPS VIA KAC LABELINGS
Autor: | D. A. Timashev, Mikhail Borovoi |
---|---|
Rok vydání: | 2021 |
Předmět: |
Pure mathematics
Algebra and Number Theory Group (mathematics) Galois cohomology Mathematics::Rings and Algebras 010102 general mathematics Field (mathematics) 01 natural sciences Dynkin diagram Mathematics::Quantum Algebra 0103 physical sciences 010307 mathematical physics Geometry and Topology Affine transformation 0101 mathematics Algebra over a field Mathematics::Representation Theory Mathematics Real number |
Zdroj: | Transformation Groups. 26:433-477 |
ISSN: | 1531-586X 1083-4362 |
Popis: | 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. |
Databáze: | OpenAIRE |
Externí odkaz: |