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.
@article{0504053,
author = {Berceanu, Stefan},
title = {Realization of coherent state Lie algebras by differential operators},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0504053}
}
Berceanu, Stefan. Realization of coherent state Lie algebras by differential operators. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0504053/