Quantum Deformation of the Affine Transformation Algebra
N. Aizawa, H.-T. Sato
TL;DR
This paper explores the quantum deformation of the affine transformation algebra, revealing its non-cocommutative Hopf algebra structure and providing realizations and tensor operators.
Contribution
It introduces a quantum deformation of the affine transformation algebra with explicit Hopf algebra structure and realizations.
Findings
Quantum algebra is non-cocommutative.
Provides explicit realizations of the quantum algebra.
Constructs quantum tensor operators.
Abstract
We discuss quantum deformation of the affine transformation algebra. It is shown that the quantum algebra has a non-cocommutative Hopf algebra structure, simple realizations and quantum tensor operators.
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