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q - Difference Intertwining Operators for Uq(sl(4)) and q - Conformal Invariant Equations

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Book cover Symmetries in Science VIII

Abstract

Consider a Lie group G,e.g., the Lorentz, Poincaré,conformal groups,and differential equations

$$ \mathcal{I}\;f = j $$
(1.1)

which are G-invariant. These play a very important role in the description of physical symmetries - recall, e.g., the examples of Dirac, Maxwell equations, (for more examples cf., e.g., [1]). It is important to construct systematically such equations for the setting of quantum groups. Such equations there are expected as q-difference equations. The hope is that these equations will have less singular behaviour than the classical counterparts.

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Author information

Authors and Affiliations

  1. Arnold Sommerfeld Institute for Mathematical Physics, Technical University Clausthal, Leibnizstr. 10, 38678, Clausthal-Zellerfeld, Germany

    V. K. Dobrev

  2. Bulgarian Academy of Sciences, Institute of Nuclear Research and Nuclear Energy, 72 Tsarigradsko Chaussee, 1784, Sofia, Bulgaria

    V. K. Dobrev

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  1. V. K. Dobrev
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Editors and Affiliations

  1. Southern Illinois University at Carbondale in Niigata, Niigata, Japan

    Bruno Gruber

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Dobrev, V.K. (1995). q - Difference Intertwining Operators for Uq(sl(4)) and q - Conformal Invariant Equations. In: Gruber, B. (eds) Symmetries in Science VIII. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1915-7_7

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  • DOI: https://doi.org/10.1007/978-1-4615-1915-7_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5783-4

  • Online ISBN: 978-1-4615-1915-7

  • eBook Packages: Springer Book Archive

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