Hypersymplectic Lie algebras |
| |
| Affiliation: | CIEM, FaMAF, Universidad Nacional de Córdoba, Ciudad Universitaria, (5000) Córdoba, Argentina;University of Texas Rio Grande Valley, 1201 W University Drive, Edinburg, TX 78539, USA;Imperial College London, United Kingdom;Department of Mathematics, The University of Texas at Austin, 2515 Speedway, RLM 8.100, Austin, TX 78712, United States;Fakultät für Mathematik, Karlsruher Institut für Technologie, Kaiserstraße 89–93, 76133 Karlsruhe, Germany;Department of Mathematics, Aarhus University, Ny Munkegade 118, Bldg 1530, DK-8000 Aarhus C, Denmark |
| |
| Abstract: | ![]()
We characterize real Lie algebras carrying a hypersymplectic structure as bicrossproducts of two symplectic Lie algebras endowed with a compatible flat torsion-free connection. In particular, we obtain the classification of all hypersymplectic structures on 4-dimensional Lie algebras, and we describe the associated metrics on the corresponding Lie groups. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
