Quantum Co-Adjoint Orbits of the Real Diamond Group
Quantum Algebra
2007-05-23 v2 Representation Theory
Abstract
We present explicit formulas for deformation quantization on the co-adjoint orbits of the real diamond Lie group. From this we obtain quantum half-plans, quantum hyperbolic cylinders, quantum hyperbolic paraboloids via Fedosov deformation quantization and finally, the corresponding unitary representations of this group.
Keywords
Cite
@article{arxiv.math/0001046,
title = {Quantum Co-Adjoint Orbits of the Real Diamond Group},
author = {Nguyen Viet Hai},
journal= {arXiv preprint arXiv:math/0001046},
year = {2007}
}
Comments
13 AmS-LaTeX file, no figure