Homology, Homotopy and Applications
Volume 7 (2005)
Product structures on four dimensional solvable Lie algebras
Pages: 9 – 37
It is the aim of this work to study product structures on four dimensional solvable Lie algebras. We determine all possible paracomplex structures and consider the case when one of the subalgebras is an ideal. These results are applied to the case of Manin triples and complex product structures. We also analyze the three dimensional subalgebras.
solvable Lie algebra, product structure, paracomplex structure
2010 Mathematics Subject Classification
Primary 53C15. Secondary 22E25.