Centrosymmetric lie algebras and boost-dilations |
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| Authors: | Roy Maartens W P F Sharkey |
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| Institution: | (1) School of Mathematical Studies, Portsmouth University, PO1 2EG Portsmouth, England;(2) Centre for Nonlinear Studies, Witwatersrand University, 2050 Johannesburg, South Africa |
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| Abstract: | We define the Lie algebrac(n) of centrosymmetric matrices. It generates a noncompact and nonsemisimple local Lie group with the unusual property that expc(n)  c(n). The group contains an invariant subgroup of Lorentz boost/ dilation transformations. Forn even, these form a subgroup of the conformal group of the Lorentzian metric with signature (– + – +  – +). |
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