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Invariantly ordered spectral lie algebras as abstract dynamical systems

  • I. Representation Thery of Finite and Infinite Dimentional Groups
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Group Theoretical Methods in Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 313))

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Abstract

A combination of the geometric spectral theory (based on a pair of an order-unit space and a base-norm space) with the theory of invariant cones in Lie algebras gives a unified language for a complete description of both quantum and classical dynamical systems. Reversing the relation between the automorphism groups of the two relevant structures (order and Lie product) we possibly get a large class of new (quantum) systems.

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References

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Author information

Authors and Affiliations

  1. Institute for Nuclear Research and Nuclear Energy, 72 Lenin Boul., 1784, Sofia, Bulgaria

    A. Petrov

Authors
  1. A. Petrov
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Editor information

Heinz-D. Doebner Jörg-D. Hennig Tchavdar D. Palev

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© 1988 Springer-Verlag

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Petrov, A. (1988). Invariantly ordered spectral lie algebras as abstract dynamical systems. 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/BFb0012260

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  • DOI: https://doi.org/10.1007/BFb0012260

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50245-6

  • Online ISBN: 978-3-540-45959-0

  • eBook Packages: Springer Book Archive

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