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

V. K. Dobrev
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V. K. Dobrev: Technical University Clausthal, Arnold Sommerfeld Institute for Mathematical Physics

A chapter in Symmetries in Science VIII, 1995, pp 55-84 from Springer

Abstract: 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.

Keywords: Maxwell Equation; Quantum Group; Verma Module; Conformal Group; Conformal Algebra (search for similar items in EconPapers)
Date: 1995
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DOI: 10.1007/978-1-4615-1915-7_7

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