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dc.contributor.author
Cagliero, Leandro Roberto
dc.contributor.author
Rojas, Nadina Elizabeth
dc.date.available
2023-01-25T21:09:49Z
dc.date.issued
2015-11-12
dc.identifier.citation
Cagliero, Leandro Roberto; Rojas, Nadina Elizabeth; A lower bound for faithful representations of nilpotent Lie algebras; Taylor & Francis Ltd; Linear And Multilinear Algebra; 63; 11; 12-11-2015; 2135-2150
dc.identifier.issn
0308-1087
dc.identifier.uri
http://hdl.handle.net/11336/185630
dc.description.abstract
In this paper we present a lower bound for the minimal dimension µ(n) of a faithful representation of a finite dimensional p-step nilpotent Lie algebra n over a field of characteristic zero. Our bound is given as the minimum of a quadratically constrained linear optimization problem, it works for arbitrary p and takes into account a given filtration of n. We present some estimates of this minimum which leads to a very explicit lower bound for µ(n) that involves the dimensions of n and its center. This bound allows us to obtain µ(n) for some families of nilpotent Lie algebras.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Taylor & Francis Ltd
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
ADO’S THEOREM
dc.subject
MINIMAL FAITHFUL REPRESENTATION
dc.subject
NILPOTENT LIE ALGEBRAS
dc.subject
NILREPRESENTATION
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A lower bound for faithful representations of nilpotent 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
2023-01-23T16:38:01Z
dc.identifier.eissn
1563-5139
dc.journal.volume
63
dc.journal.number
11
dc.journal.pagination
2135-2150
dc.journal.pais
Reino Unido
dc.journal.ciudad
Londres
dc.description.fil
Fil: Cagliero, Leandro Roberto. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Rojas, Nadina Elizabeth. 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
Linear And Multilinear Algebra
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/abs/10.1080/03081087.2014.985629
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1080/03081087.2014.985629
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1407.0226
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