Realization of coherent state Lie algebras by differential operators

Details Realization of coherent state Lie algebras by differential operators Realization of coherent state Lie algebras by differential operators

2005-04-04

arxiv.org/abs/math/0504053v1

Mathematics

Differential Geometry

26 pages, AMSART, AMS fonts, to appear in the Proceedings of the International Conference ``Operator Algebras and Mathematical

Scientific paper

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.

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