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dc.contributor.author
Chernousov, Vladimir
dc.contributor.author
Neher, Erhard
dc.contributor.author
Pianzola, Arturo
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dc.contributor.author
Yahorau, Uladzimir
dc.date.available
2019-11-28T19:39:48Z
dc.date.issued
2016-02
dc.identifier.citation
Chernousov, Vladimir; Neher, Erhard; Pianzola, Arturo; Yahorau, Uladzimir; On conjugacy of Cartan subalgebras in extended affine Lie algebras; Academic Press Inc Elsevier Science; Advances in Mathematics; 290; 2-2016; 260-292
dc.identifier.issn
0001-8708
dc.identifier.uri
http://hdl.handle.net/11336/90818
dc.description.abstract
That finite-dimensional simple Lie algebras over the complex numbers can be classified by means of purely combinatorial and geometric objects such as Coxeter-Dynkin diagrams and indecomposable irreducible root systems, is arguably one of the most elegant results in mathematics. The definition of the root system is done by fixing a Cartan subalgebra of the given Lie algebra. The remarkable fact is that (up to isomorphism) this construction is independent of the choice of the Cartan subalgebra. The modern way of establishing this fact is by showing that all Cartan subalgebras are conjugate. For symmetrizable Kac-Moody Lie algebras, with the appropriate definition of Cartan subalgebra, conjugacy has been established by Peterson and Kac. An immediate consequence of this result is that the root systems and generalized Cartan matrices are invariants of the Kac-Moody Lie algebras. The purpose of this paper is to establish conjugacy of Cartan subalgebras for extended affine Lie algebras; a natural class of Lie algebras that generalizes the finite-dimensional simple Lie algebra and affine Kac-Moody Lie algebras.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Academic Press Inc Elsevier Science
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
CARTAN SUBALGEBRA
dc.subject
CONJUGACY
dc.subject
EXTENDED AFFINE LIE ALGEBRA
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LIE TORUS
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NON-ABELIAN COHOMOLOGY
dc.subject
REDUCTIVE GROUP SCHEME
dc.subject.classification
Matemática Pura
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dc.subject.classification
Matemáticas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
On conjugacy of Cartan subalgebras in 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
2019-11-21T17:36:57Z
dc.journal.volume
290
dc.journal.pagination
260-292
dc.journal.pais
Países Bajos
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dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Chernousov, Vladimir. University of Alberta; Canadá. Natural Sciences and Engineering Research Council; Canadá
dc.description.fil
Fil: Neher, Erhard. University of Ottawa; Canadá. Natural Sciences and Engineering Research Council; Canadá
dc.description.fil
Fil: Pianzola, Arturo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. University of Alberta; Canadá. Universidad Centro de Altos Estudios en Ciencia Exactas. Departamento de Matemáticas; Argentina
dc.description.fil
Fil: Yahorau, Uladzimir. University of Alberta; Canadá. Natural Sciences and Engineering Research Council; Canadá
dc.journal.title
Advances in Mathematics
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0001870815005125
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.aim.2015.11.038
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