In this chapter we develop two of the basic results on reduction by stages, namely the case of commuting reduction and semidirect product reduction. While one could view these as special cases of more general theorems to follow in the next chapter, it is worthwhile to see them on their own as more structured preludes to more general cases. In addition, these cases are important in applications as well as for the historical development of the subject.
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© 2007 Springer-Verlag Berlin Heidelberg
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(2007). Commuting Reduction and Semidirect Product Theory. In: Hamiltonian Reduction by Stages. Lecture Notes in Mathematics, vol 1913. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72470-4_4
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DOI: https://doi.org/10.1007/978-3-540-72470-4_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72469-8
Online ISBN: 978-3-540-72470-4
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