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Titlebook: Hamiltonian Reduction by Stages; Jerrold E. Marsden,Gerard Misiolek,Tudor S. Ratiu Book 2007 Springer-Verlag Berlin Heidelberg 2007 DEX.Ha

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楼主: relapse
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Group Extensions and the Stages Hypothesisthe action of. in two stages, the first stage being reduction by .. The goal of this chapter is to introduce hypotheses under which reduction by stages works—that is, the stages hypothesis (see Definition 5.2.8) is automatically satisfied. The actual reduction by stages procedure for these examples
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Examplesome 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.
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Stages and Semidirect Products with Cocyclesp . with an Abelian group ., where the construction of the semidirect product itself involves an .-valued cocycle of .. In this context, . (which is . in the general theory) is still a normal subgroup and the reduction by stages program is fully carried out. In particular, the stages hypothesis hold
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