A universal non-quasitriangular quantization of the Heisenberg group
A. Ballesteros, Enrico Celeghini, F. J. Herranz, M. A. del Olmo, M., Santander
TL;DR
This paper introduces a universal R-matrix for the quantum Heisenberg algebra that, despite its non-quasitriangular nature, aligns with known quasitriangular deformations, advancing understanding of quantum group structures.
Contribution
It presents a universal R-matrix for the quantum Heisenberg algebra h(1)q that is non-quasitriangular but yields a known quasitriangular deformation.
Findings
The quantum group from this R-matrix coincides with existing quasitriangular deformations.
The R-matrix is universal for the quantum Heisenberg algebra.
The approach bridges non-quasitriangular and quasitriangular quantum groups.
Abstract
A universal R--matrix for the quantum Heisenberg algebra h(1)q is presented. Despite of the non--quasitriangularity of this Hopf algebra, the quantum group induced from it coincides with the quasitriangular deformation already known.
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