Bicovariant Calculus in Quantum Theory and a Generalization of the Gauss Law
arXiv:hep-th/9912091 · doi:10.1016/S0370-2693(00)00245-8
Abstract
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.
12 pages