Quantum affine transformation group and covariant differential calculus

Details Quantum affine transformation group and covariant differential calculus Quantum affine transformation group and covariant differential calculus

1993-08-10

arxiv.org/abs/hep-th/9308049v1

Prog.Theor.Phys. 91 (1994) 1065-1080

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 22 pages OS-GE-34-94 RCNP-058

Scientific paper

10.1143/PTP.91.1065

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.

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