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dc.contributor.author
Mainkar, Meera
dc.contributor.author
Will, Cynthia Eugenia
dc.date.available
2018-07-11T18:34:54Z
dc.date.issued
2015-09
dc.identifier.citation
Mainkar, Meera; Will, Cynthia Eugenia; Characterization of 9-dimensional Anosov Lie Algebras; Heldermann Verlag; Journal Of Lie Theory; 25; 3; 9-2015; 857-873
dc.identifier.issn
0949-5932
dc.identifier.uri
http://hdl.handle.net/11336/51753
dc.description.abstract
The classification of all real and rational Anosov Lie algebras up to dimension 8 is given by Lauret and Will. In this paper we study 9 -dimensional Anosov Lie algebras by using the properties of very special algebraic numbers and Lie algebra classification tools. We prove that there exists a unique, up to isomorphism, complex 3 -step Anosov Lie algebra of dimension 9. In the 2 -step case, we prove that a 2 -step 9 -dimensional Anosov Lie algebra with no abelian factor must have a 3 -dimensional derived algebra and we characterize these Lie algebras in terms of their Pfaffian forms. Among these Lie algebras, we exhibit a family of infinitely many complex non-isomorphic Anosov Lie algebras.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Heldermann Verlag
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Anosov
dc.subject
Diffeomorphism
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Characterization of 9-dimensional Anosov 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
2018-07-04T19:19:34Z
dc.journal.volume
25
dc.journal.number
3
dc.journal.pagination
857-873
dc.journal.pais
Alemania
dc.description.fil
Fil: Mainkar, Meera. Michigan State University; Estados Unidos
dc.description.fil
Fil: Will, Cynthia Eugenia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.journal.title
Journal Of Lie Theory
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.heldermann.de/JLT/JLT25/JLT253/jlt25040.htm
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