Abstract
The Jacobi group is a semidirect product of a (semisimple) symplectic group with a (nilpotent) Heisenberg group. It comes along in several presentations which may be more or less appropriate for the different parts of the theory. So we will discuss here several realizations and change from one to the other from time to time. To keep track it is helpful to think of the Jacobi group as a certain subgroup of a bigger symplectic group.
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© 1998 Birkhäuser Verlag, reprint by Springer Basel AG
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Berndt, R., Schmidt, R. (1998). The Jacobi Group. In: Elements of the Representation Theory of the Jacobi Group. Modern Birkhäuser Classics. Springer, Basel. https://doi.org/10.1007/978-3-0348-0283-3_1
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DOI: https://doi.org/10.1007/978-3-0348-0283-3_1
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Publisher Name: Springer, Basel
Print ISBN: 978-3-0348-0282-6
Online ISBN: 978-3-0348-0283-3
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