Realization of coherent state Lie algebras by differential operators
Differential Geometry
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
A realization of coherent state Lie algebras by first-order differential operators with holomorphic polynomial coefficients on K\"ahler coherent state orbits is presented. Explicit formulas involving the Bernoulli numbers and the structure constants for the semisimple Lie groups are proved.
Keywords
Cite
@article{arxiv.math/0504053,
title = {Realization of coherent state Lie algebras by differential operators},
author = {Stefan Berceanu},
journal= {arXiv preprint arXiv:math/0504053},
year = {2007}
}
Comments
26 pages, AMSART, AMS fonts, to appear in the Proceedings of the International Conference ``Operator Algebras and Mathematical Physics'', June 26 - July 04, 2003, Sinaia, Romania