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arXiv · 1212.6698

Classification of complete left-invariant affine structures on the Oscillator group

Mohammed Guediri
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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 complete left-invariant affine structures on the oscillator group.

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Mohammed Guediri. 2013-04-30. Classification of complete left-invariant affine structures on the Oscillator group. https://arxiv.org/abs/1212.6698

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