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dc.contributor.author
Gille, Philippe
dc.contributor.author
Pianzola, Arturo
dc.date.available
2017-09-29T19:36:50Z
dc.date.issued
2013-11
dc.identifier.citation
Gille, Philippe; Pianzola, Arturo; Torsors, reductive group schemes and extended affine Lie algebras; American Mathematical Society; Memoirs Of The American Mathematical Society (ams); 226; 1063; 11-2013; 1-116
dc.identifier.issn
0065-9266
dc.identifier.uri
http://hdl.handle.net/11336/25470
dc.description.abstract
We give a detailed description of the torsors that correspond to multiloop algebras. These algebras are twisted forms of simple Lie algebras extended over Laurent polynomial rings. They play a crucial role in the construction of Extended Affine Lie Algebras (which are higher nullity analogues of the affine Kac-Moody Lie algebras). The torsor approach that we take draws heavily for the theory of reductive group schemes developed by M. Demazure and A. Grothendieck. It also allows us to find a bridge between multiloop algebras and the work of F. Bruhat and J. Tits on reductive groups over complete local fields.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Mathematical Society
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Reductive Group Schemes
dc.subject
Loop Torsors
dc.subject
Extended Affine Lie Algebras
dc.subject.classification
Otras Matemáticas
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Torsors, reductive group schemes and extended affine Lie algebras
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-09-28T18:12:08Z
dc.identifier.eissn
1947–6221
dc.journal.volume
226
dc.journal.number
1063
dc.journal.pagination
1-116
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Providence
dc.description.fil
Fil: Gille, Philippe. Centre National de la Recherche Scientifique. Ecole Normale Supérieure; Francia
dc.description.fil
Fil: Pianzola, Arturo. University of Alberta; Canadá. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Memoirs Of The American Mathematical Society (ams)
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1109.3405
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.ams.org/books/memo/1063/
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