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

In: Symmetries in Science VIII

Author

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  • V. K. Dobrev

    (Technical University Clausthal, Arnold Sommerfeld Institute for Mathematical Physics
    Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences)

Abstract

Consider a Lie group G,e.g., the Lorentz, Poincaré,conformal groups,and differential equations 1.1 $$ \mathcal{I}\;f = j $$ 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.

Suggested Citation

  • V. K. Dobrev, 1995. "q - Difference Intertwining Operators for Uq(sl(4)) and q - Conformal Invariant Equations," Springer Books, in: Bruno Gruber (ed.), Symmetries in Science VIII, pages 55-84, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-1915-7_7
    DOI: 10.1007/978-1-4615-1915-7_7
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