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- W4287280012 abstract "By a quasi-connected reductive group (a term of Labesse) over an arbitrary field we mean an almost direct product of a connected semisimple group and a quasi-torus (a smooth group of multiplicative type). We show that a linear algebraic group is quasi-connected reductive if and only if it is isomorphic to a smooth normal subgroup of a connected reductive group. We compute the first Galois cohomology set H^1(R,G) of a quasi-connected reductive group G over the field R of real numbers in terms of a certain action of a subgroup of the Weyl group on the Galois cohomology of a fundamental quasi-torus of G." @default.
- W4287280012 created "2022-07-25" @default.
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- W4287280012 date "2021-03-08" @default.
- W4287280012 modified "2023-09-30" @default.
- W4287280012 title "Galois cohomology of real quasi-connected reductive groups" @default.
- W4287280012 doi "https://doi.org/10.48550/arxiv.2103.04654" @default.
- W4287280012 hasPublicationYear "2021" @default.
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