Quantum affine transformation group and covariant differential calculus
High Energy Physics - Theory
2017-02-01 v1
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.
Cite
@article{arxiv.hep-th/9308049,
title = {Quantum affine transformation group and covariant differential calculus},
author = {N. Aizawa and H. -T. Sato},
journal= {arXiv preprint arXiv:hep-th/9308049},
year = {2017}
}
Comments
LaTeX 22 pages OS-GE-34-94 RCNP-058