Original scientific paper
Classification of complete left-invariant affine structures on the oscillator group
Mohammed Guediri
; Department of Mathematics, College of Science, King Saud University, Riyadh, Saudi Arabia
Abstract
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.
Keywords
Left-invariant affine structures; left-symmetric algebras; extensions and cohomologies of Lie algebras and left-symmetric algebras
Hrčak ID:
129583
URI
Publication date:
5.12.2014.
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