Journal of Lie Theory

no. 3
An Algebraic Construction of Lorentz Homogeneous Spaces of Low Dimension
Journal of Lie Theory, Volume 22 (2012) no. 3, pp. 887-906
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.
DOI: 10.5802/jolt.698
Classification: 53C30, 17B81
Keywords: Lie algebra actions, Lorentz homogeneous spaces 
@article{JOLT_2012_22_3_a14,
     author = {A. Bowers},
     title = {An {Algebraic} {Construction} of {Lorentz} {Homogeneous} {Spaces} of {Low} {Dimension}},
     journal = {Journal of Lie Theory},
     pages = {887--906},
     year = {2012},
     volume = {22},
     number = {3},
     doi = {10.5802/jolt.698},
     zbl = {1250.53046},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.698/}
}
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A. Bowers. An Algebraic Construction of Lorentz Homogeneous Spaces of Low Dimension. Journal of Lie Theory, Volume 22 (2012) no. 3, pp. 887-906. doi: 10.5802/jolt.698

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