@article{5e428924941a421180976b5b56fb4177,

title = "Galois cohomology of reductive algebraic groups over the field of real numbers",

abstract = "We describe functorially the first Galois cohomology set H1 (R, G) of a connected reductive algebraic group G over the field R of real numbers in terms of a certain action of the Weyl group on the real points of order dividing 2 of the maximal torus containing a maximal compact torus. This result was announced with a sketch of proof in the author{\textquoteright}s 1988 note [3]. Here we give a detailed proof and a few examples.",

keywords = "Galois cohomology, real algebraic group",

author = "Mikhail Borovoi",

note = "Publisher Copyright: {\textcopyright} 2022 Mikhail Borovoi.",

year = "2022",

doi = "10.46298/cm.9298",

language = "אנגלית",

volume = "30",

pages = "191--201",

journal = "Communications in Mathematics",

issn = "1804-1388",

publisher = "De Gruyter Open Ltd.",

number = "3",

}