Overview

This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. The volume also provides ample background theory on symplectic reduction and cotangent bundle reduction.

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9783540838210

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<p>From the reviews: <p><p> For the first time in the literature, this book presents a detailed account of the theory of reduction by stages of Hamiltonian systems with symmetries. It is therefore a useful tool in computing reduced spaces and the authors illustrate it with many physical examples. The necessary background in symplectic reduction and the numerous examples which are provided make this book interesting for people new to the field, as well as for specialists. (Oana M. Dragulete, Mathematical Reviews, Issue 2008 i)

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