Artículo
A lower bound for faithful representations of nilpotent Lie algebras
Fecha de publicación:
12/11/2015
Editorial:
Taylor & Francis Ltd
Revista:
Linear And Multilinear Algebra
ISSN:
0308-1087
e-ISSN:
1563-5139
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
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Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
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
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