Quantum affine transformation group and covariant differential calculus
arXiv:hep-th/9308049 · doi:10.1143/ptp/91.6.1065
Abstract
We discuss quantum deformation of the affine transformation group and its Lie algebra. It is shown that the quantum algebra has a non-cocommutative Hopf algebra structure, simple realizations and quantum tensor operators. The deformation of the group is achieved by using the adjoint representation. The elements of quantum matrix form a Hopf algebra. Furthermore, we construct a differential calculus which is covariant with respect to the action of the quantum matrix.
LaTeX 22 pages OS-GE-34-94 RCNP-058