Deformation Quantization of the Heisenberg Group
High Energy Physics - Theory
2009-10-22 v2
Abstract
A *-product compatible with the comultiplication of the Hopf algebra of the functions on the Heisenberg group is determined by deforming a coboundary Lie-Poisson structure defined by a classical r-matrix satisfying the modified Yang-Baxter equation. The corresponding quantum group is studied and its R-matrix is explicitly calculated.
Keywords
Cite
@article{arxiv.hep-th/9312129,
title = {Deformation Quantization of the Heisenberg Group},
author = {F. Bonechi and R. Giachetti and E. Sorace and M. Tarlini},
journal= {arXiv preprint arXiv:hep-th/9312129},
year = {2009}
}
Comments
(TeX 9 pages, some misprints are here corrected)