Quantum Affine Transformation Group and Covariant Differential Calculus
نویسنده
چکیده
We discuss quantum deformation of the affine transformation group and its Lie algebra. It is shown that the quantum algebra has a noncocommutative 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. PACS 02.10.Tq 02.20.Tw ——————————————————————† Fellow of the Japan Society for the Promotion of Science E-mail : [email protected] ∗ E-mail : [email protected] 1
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