Bicovariant Calculus in Quantum Theory and a Generalization of the Gauss Law

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages

Scientific paper

10.1016/S0370-2693(00)00245-8

We construct a deformation of the quantum algebra Fun(T^*G) associated with Lie group G to the case where G is replaced by a quantum group G_q which has a bicovariant calculus. The deformation easily allows for the inclusion of the current algebra of left and right invariant one forms. We use it to examine a possible generalization of the Gauss law commutation relations for gauge theories based on G_q.

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