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

Published 30 Dec 2012 in math.DG and math.RA | (1212.6698v2)

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

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