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arXiv · hep-th/9308049

Quantum affine transformation group and covariant differential calculus

N. Aizawa·H. -T. Sato
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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.

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N. Aizawa, H. -T. Sato. 1993-08-10. Quantum affine transformation group and covariant differential calculus. https://doi.org/10.1143/ptp%2F91.6.1065

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