INVESTIGADORES
ANDRADA adrian Marcelo
artículos
Título:
Hypersymplectic Lie algebras
Autor/es:
ADRIÁN ANDRADA
Revista:
JOURNAL OF GEOMETRY AND PHYSICS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2006 vol. 56 p. 2039 - 2067
ISSN:
0393-0440
Resumen:
We characterize real Lie algebras carrying a hypersymplectic structure as bicrossproducts of two symplectic Lie algebras endowed with a compatible flat torsionfree connection. In particular, we obtain the classification of all hypersymplectic structures on four-dimensional Lie algebras, and we describe the associated metrics on the corresponding Lie groups.
