Product structures on four dimensional solvable Lie algebras

Details Product structures on four dimensional solvable Lie algebras Product structures on four dimensional solvable Lie algebras

2004-02-13

arxiv.org/abs/math/0402234v1

Homology Homotopy Appl. 7 (1) (2005) , 9--37

Mathematics

Rings and Algebras

25 pages

Scientific paper

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.

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