Stefan Berceanu
A holomorphic representation
of the Jacobi algebra
Representations of coherent state Lie algebras on coherent state manifolds
as first-order differential operators with holomorphic polynomial
coefficients are presented. We give a realization of algebras of
mixed groups as the semidirect product of the Heisenberg and the
symplectic group with first-order differential operators with
holomorphic polynomials.