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Realization of coherent state Lie algebras by differential operators

Stefan Berceanu
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Abstract

A realization of coherent state Lie algebras by first-order differential operators with holomorphic polynomial coefficients on Kähler 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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Stefan Berceanu. 2005-04-04. Realization of coherent state Lie algebras by differential operators. https://arxiv.org/abs/math/0504053

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