Quantum Space-Time Groups and Beyond

Mariano A. del Olmo ()
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Mariano A. del Olmo: Universidad de Valladolid, Departamento de Física Teórica

A chapter in Symmetries in Science IX, 1997, pp 297-312 from Springer

Abstract: 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.

Keywords: Hopf Algebra; Quantum Group; Deformation Parameter; Schrodinger Equation; Galilei Group (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-5921-4_22

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DOI: 10.1007/978-1-4615-5921-4_22

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