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.
abowers@ucsd.edu
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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