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Journal of Lie Theory 22 (2012), No. 3, 887--906
Copyright Heldermann Verlag 2012

An Algebraic Construction of Lorentz Homogeneous Spaces of Low Dimension

Adam Bowers
Dept. of Mathematics, University of California, La Jolla, CA 92093, U.S.A.

We give an elementary algebraic construction of all real Lorentz homogeneous spaces of dimensions two and three. We use basic algebraic techniques to construct reductive Lie algebra pairs for each Lorentz homogeneous space.

Keywords: Lie algebra actions, Lorentz homogeneous spaces.

MSC: 53C30, 17B81

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