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Quantum Space-Time Groups and Beyond

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Symmetries in Science IX

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Abstract

The idea of symmetry is essential in our understanding of the physical world. By symmetries of a physical system we understand a set of transformations that keep it invariant, the knowledge of them gives a lot of information about the system. On the other hand, the idea of “deformation” is very common in physics; very often it is necessary to make (small) corrections depending on a parameter to a theory, in such a way that its framework is preserved. All that is in the background of the interest of the physics community for quantum groups, considering them as sets of “generalized” symmetries, in the sense of deformed objects (in a continuous way maintaining many properties of them) of those that characterize the “undeformed” symmetries: Lie algebras and Lie groups.

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Author information

Authors and Affiliations

  1. Departamento de Física Teórica, Universidad de Valladolid, E-47011, Valladolid, Spain

    Mariano A. del Olmo

Authors
  1. Mariano A. del Olmo
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Editors and Affiliations

  1. Southern Illinois University at Carbondale, Carbondale, Illinois, USA

    Bruno Gruber

  2. Technische Universität Graz, Graz, Austria

    Michael Ramek

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© 1997 Springer Science+Business Media New York

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del Olmo, M.A. (1997). Quantum Space-Time Groups and Beyond. In: Gruber, B., Ramek, M. (eds) Symmetries in Science IX. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5921-4_22

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  • DOI: https://doi.org/10.1007/978-1-4615-5921-4_22

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-7715-3

  • Online ISBN: 978-1-4615-5921-4

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