Classification of complete left-invariant affine structures on the oscillator group
Guediri, Mohammed
Mathematical Communications, Tome 19 (2014) no. 1, p. 343-362 / Harvested from Mathematical Communications
Text on Mathematical Communications
The goal of this paper is to provide a method, based on the theory of extensions of left-symmetric algebras, for classifying left-invariant affine structures on a given solvable Lie group of low dimension. To better illustrate our method, we shall apply it to classify all complete left-invariant affine structures on the oscillator group.
Publié le : 2014-10-26
Classification:  Left-invariant affine structures, left-symmetric algebras, extensions and cohomologies of Lie algebras and left-symmetric algebras.,  53C50, 53A15 
@article{mc691,
     author = {Guediri, Mohammed},
     title = {Classification of complete left-invariant affine structures on the oscillator group},
     journal = {Mathematical Communications},
     volume = {19},
     number = {1},
     year = {2014},
     pages = { 343-362},
     language = {eng},
     url = {http://dml.mathdoc.fr/item/mc691}
}

Guediri, Mohammed. Classification of complete left-invariant affine structures on the oscillator group. Mathematical Communications, Tome 19 (2014) no. 1, pp.  343-362. http://gdmltest.u-ga.fr/item/mc691/