Abstract
We study ordered vector spaces which are at the same time Lie algebras and satisfy certain compatibility conditions between the algebraic and the order structure. The main point is that the ordering of the Lie algebra is completely determined by the induced ordering on a Cartan algebra.
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References
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© 1988 Springer-Verlag
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Hilgert, J. (1988). Spectrally ordered Lie algebras. In: Doebner, HD., Hennig, JD., Palev, T.D. (eds) Group Theoretical Methods in Physics. Lecture Notes in Physics, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0012256
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DOI: https://doi.org/10.1007/BFb0012256
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50245-6
Online ISBN: 978-3-540-45959-0
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