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dc.contributor.author
Chernousov, V.  
dc.contributor.author
Gille, P.  
dc.contributor.author
Pianzola, Arturo  
dc.contributor.author
Yahorau, U.  
dc.date.available
2018-01-09T17:19:35Z  
dc.date.issued
2014-02  
dc.identifier.citation
Chernousov, V.; Gille, P.; Pianzola, Arturo; Yahorau, U.; A cohomological proof of Peterson-Kac's theorem of conjugacy of Cartan subalgebras of affine Kac-Moody Lie algebras; Elsevier; Journal of Algebra; 399; 2-2014; 55-78  
dc.identifier.issn
0021-8693  
dc.identifier.uri
http://hdl.handle.net/11336/32669  
dc.description.abstract
This paper deals with the problem of conjugacy of Cartan subalgebras for affine Kac-Moody Lie algebras. Unlike the methods used by Peterson and 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 J. Tits on buildings.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/  
dc.subject
Conjucacy  
dc.subject
Cartan Subalgebras  
dc.subject
Affine Kac-Moody Lie Algebras  
dc.subject
Non-Abelian Cohomology  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A cohomological proof of Peterson-Kac's theorem of conjugacy of Cartan subalgebras of affine Kac-Moody 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
2018-01-08T19:46:46Z  
dc.journal.volume
399  
dc.journal.pagination
55-78  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Nueva York  
dc.description.fil
Fil: Chernousov, V.. University of Alberta; Canadá  
dc.description.fil
Fil: Gille, P.. Centre National de la Recherche Scientifique. Ecole Normale Supérieure; Francia  
dc.description.fil
Fil: Pianzola, Arturo. University of Alberta; Canadá. Universidad Centro de Altos Estudios en Ciencias Exactas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.description.fil
Fil: Yahorau, U.. University of Alberta; Canadá  
dc.journal.title
Journal of Algebra  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1205.0669  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869313005577  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jalgebra.2013.09.037  

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