On the Tits-Weiss conjecture and the Kneser-Tits conjecture for E_78^ 7,1 and E_78^8,2 (With an Appendix by R. M. Weiss)

dc.creatorAlsaody, Seidon
dc.creatorChernousov, Vladimir
dc.creatorPianzola, Arturo
dc.date.accessioned2022-08-22T13:55:45Z
dc.date.accessioned2022-10-15T11:36:13Z
dc.date.available2022-08-22T13:55:45Z
dc.date.available2022-10-15T11:36:13Z
dc.date.created2022-08-22T13:55:45Z
dc.date.issued2021-11
dc.identifierAlsaody, Seidon; Chernousov, Vladimir; Pianzola, Arturo; On the Tits-Weiss conjecture and the Kneser-Tits conjecture for E_78^ 7,1 and E_78^8,2 (With an Appendix by R. M. Weiss); Cambridge University Press; Forum of Mathematics, Sigma; 9; e75; 11-2021; 1-25
dc.identifierhttp://hdl.handle.net/11336/166211
dc.identifier2050-5094
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4381530
dc.description.abstractWe prove that the structure group of any Albert algebra over an arbitrary field is R-trivial. This implies the Tits-Weiss conjecture for Albert algebras and the Kneser-Tits conjecture for isotropic groups of type E78 7,1 and E78 8,2. As a further corollary, we show that some standard conjectures on the groups of R-equivalence classes in algebraic groups and the norm principle are true for strongly inner forms of type 1E6.
dc.languageeng
dc.publisherCambridge University Press
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.cambridge.org/core/journals/forum-of-mathematics-sigma/article/on-the-titsweiss-conjecture-and-the-knesertits-conjecture-for-mathrm-e7871-and-mathrm-e7882-with-an-appendix-by-r-m-weiss/BA96C697C833167A625F0FEC545AB93A
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1017/fms.2021.65
dc.rightshttps://creativecommons.org/licenses/by/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectTits-Weiss Conjecture
dc.subjectKneser-Tits
dc.subjectAlbert Algebras
dc.titleOn the Tits-Weiss conjecture and the Kneser-Tits conjecture for E_78^ 7,1 and E_78^8,2 (With an Appendix by R. M. Weiss)
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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