
Journal of Lie Theory 22 (2012), No. 3, 887906 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 [Fulltextpdf (317 KB)] for subscribers only. 