Artículo
Classification of 7-dimensional einstein nilradicals
Fecha de publicación:
08/2012
Editorial:
Birkhauser Boston Inc
Revista:
Transformation Groups
ISSN:
1083-4362
e-ISSN:
1531-586X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The problem of classifying Einstein solvmanifolds, or equivalently, Ricci soliton nilmanifolds, is known to be equivalent to a question on the variety N n(ℂ) of n-dimensional complex nilpotent Lie algebra laws. Namely, one has to determine which GL n(ℂ)-orbits in N n(ℂ) have a critical point of the squared norm of the moment map. In this paper, we give a classification result of such distinguished orbits for n = 7. The set N 7(ℂ)/GL 7(ℂ) is formed by 148 nilpotent Lie algebras and 6 one-parameter families of pairwise non-isomorphic nilpotent Lie algebras. We have applied to each Lie algebra one of three main techniques to decide whether it has a distinguished orbit or not.
Archivos asociados
Licencia
Identificadores
Colecciones
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
Fernández Culma, Edison Alberto; Classification of 7-dimensional einstein nilradicals; Birkhauser Boston Inc; Transformation Groups; 17; 3; 8-2012; 639-656
Compartir
Altmétricas