A holomorphic representation of the Jacobi algebra

Details A holomorphic representation of the Jacobi algebra A holomorphic representation of the Jacobi algebra

2004-08-17

arxiv.org/abs/math/0408219v2

Mathematics

Differential Geometry

34 pages, corrected typos, improved notation, added references. A new section containing a comparison of our results with thos

Scientific paper

A representation of the Jacobi algebra $\mathfrak{h}_1\rtimes
\mathfrak{su}(1,1)$ by first order differential operators with polynomial
coefficients on the manifold $\mathbb{C}\times \mathcal{D}_1$ is presented. The
Hilbert space of holomorphic functions on which the holomorphic first order
differential operators with polynomials coefficients act is constructed.

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