dc.creatorChernousov, Vladimir
dc.creatorGille, Philippe
dc.creatorPianzola, Arturo
dc.date.accessioned2020-08-26T15:13:00Z
dc.date.accessioned2022-10-15T05:46:58Z
dc.date.available2020-08-26T15:13:00Z
dc.date.available2022-10-15T05:46:58Z
dc.date.created2020-08-26T15:13:00Z
dc.date.issued2014-01
dc.identifierChernousov, Vladimir; Gille, Philippe; Pianzola, Arturo; Conjugacy theorems for loop reductive group schemes and Lie algebras; Springer; Bulletin of Mathematical Sciences; 4; 2; 1-2014; 281-324
dc.identifier1664-3615
dc.identifierhttp://hdl.handle.net/11336/112444
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4351482
dc.description.abstractThe conjugacy of split Cartan subalgebras in the finite-dimensional simple case (Chevalley) and in the symmetrizable Kac–Moody case (Peterson–Kac) are fundamental results of the theory of Lie algebras. Among the Kac–Moody Lie algebras the affine algebras stand out. This paper deals with the problem of conjugacy for a class of algebras—extended affine Lie algebras—that are in a precise sense higher nullity analogues of the affine algebras. Unlike the methods used by Peterson–Kac, our approach is entirely cohomological and geometric. It is deeply rooted on the theory of reductive group schemes developed by Demazure and Grothendieck, and on the work of Bruhat–Tits on buildings. The main ingredient of our conjugacy proof is the classification of loop torsors over Laurent polynomial rings, a result of its own interest.
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s13373-014-0052-8
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s13373-014-0052-8
dc.rightshttps://creativecommons.org/licenses/by/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBUILDING
dc.subjectCONJUGACY
dc.subjectLAURENT POLYNOMIALS
dc.subjectLOOP REDUCTIVE GROUP SCHEME
dc.subjectNON-ABELIAN COHOMOLOGY
dc.subjectTORSOR
dc.titleConjugacy theorems for loop reductive group schemes and Lie algebras
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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