We begin this chapter by revisiting the example of the Heisenberg group from §5.1 to illustrate the general theory developed in Chapter 8. As will become evident, now that the general theory is at hand, when it is applied to this example, the results done by hand in §5.1 can be obtained very quickly. This example is interesting because it is a simple, yet nontrivial, example of a group extension that is not a semidirect product.
Keywords
- Heisenberg Group
- Symplectic Form
- Central Extension
- Coadjoint Orbit
- Casimir Function
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). Examples. In: Hamiltonian Reduction by Stages. Lecture Notes in Mathematics, vol 1913. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72470-4_9
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DOI: https://doi.org/10.1007/978-3-540-72470-4_9
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