Momentum maps and Hamiltonian reduction

Bibliographic Information

Momentum maps and Hamiltonian reduction

Juan-Pablo Ortega, Tudor S. Ratiu

(Progress in mathematics, v. 222)

Springer Science+Business Media, [2013?], c2004

  • : softcover

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Note

"Originally published by Juan-Pablo Ortega and Tudor S. Ratiu in 2004. Softcover reprint of the hardcover 1st edition 2004"--T.p. verso

"Ferran Sunyer i Balaguer Award winning monograph"--Cover

Includes bibliographical references (p. [443]-476) and index

Description and Table of Contents

Description

* Winner of the Ferran Sunyer i Balaguer Prize in 2000. * Reviews the necessary prerequisites, beginning with an introduction to Lie symmetries on Poisson and symplectic manifolds. * Currently in classroom use in Europe. * Can serve as a resource for graduate courses and seminars in Hamiltonian mechanics and symmetry, symplectic and Poisson geometry, Lie theory, mathematical physics, and as a comprehensive reference resource for researchers.

Table of Contents

Introduction * Manifolds and smooth structures * Lie group actions * Pseudogroups and groupoids * The standard momentum map * Generalizations of the momentum map * Regular symplectic reduction theory * The Symplectic Slice Theorem * Singular reduction and the stratification theorem * Optimal reduction * Poisson reduction * Dual Pairs * Bibliography * Index

by "Nielsen BookData"

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Details

  • NCID
    BB24161843
  • ISBN
    • 9781475738131
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    xxxiv, 497 p.
  • Size
    24 cm
  • Parent Bibliography ID
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