Journal of Generalized Lie Theory and Applications

Complete Left-Invariant Affine Structures on Solvable Non-Unimodular Three-Dimensional Lie Groups

M Guediri and K Al-Balawi

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Abstract

In this paper, we shall use a method based on the theory of extensions of left-symmetric algebras to classify complete left-invariant affine real structures on solvable non-unimodular three-dimensional Lie groups.

Article information

Source
J. Gen. Lie Theory Appl., Volume 9, Number 1 (2015), 11 pages.

Dates
First available in Project Euclid: 30 September 2015

Permanent link to this document
https://projecteuclid.org/euclid.jglta/1443617962

Digital Object Identifier
doi:10.4172/1736-4337.1000222

Mathematical Reviews number (MathSciNet)
MR3624044

Zentralblatt MATH identifier
06499581

Keywords
Extensions of left-symmetric algebras Left-invariant affine connections Novikov algebras

Citation

Guediri, M; Al-Balawi, K. Complete Left-Invariant Affine Structures on Solvable Non-Unimodular Three-Dimensional Lie Groups. J. Gen. Lie Theory Appl. 9 (2015), no. 1, 11 pages. doi:10.4172/1736-4337.1000222. https://projecteuclid.org/euclid.jglta/1443617962


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