rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Poisson Structures and Their Normal Forms
  name:
    name part: Dufour, Jean-Paul.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Zung, Nguyen Tien.
    role:
      role term: author.
  name:
    name part: Bass, H.
    role:
      role term: editor.
  name:
    name part: Oesterlé, J.
    role:
      role term: editor.
  name:
    name part: Weinstein, A.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2005
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XV, 321 p. online resource.
  abstract: Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as phase spaces. They also arise naturally in other mathematical problems, and form a bridge from the "commutative world" to the "noncommutative world". The aim of this book is twofold: On the one hand, it gives a quick, self-contained introduction to Poisson geometry and related subjects, including singular foliations, Lie groupoids and Lie algebroids. On the other hand, it presents a comprehensive treatment of the normal form problem in Poisson geometry. Even when it comes to classical results, the book gives new insights. It contains results obtained over the past 10 years which are not available in other books.
  table of contents: Generalities on Poisson Structures -- Poisson Cohomology -- Levi Decomposition -- Linearization of Poisson Structures -- Multiplicative and Quadratic Poisson Structures -- Nambu Structures and Singular Foliations -- Lie Groupoids -- Lie Algebroids.
  note: by Jean-Paul Dufour, Nguyen Tien Zung ; edited by H. Bass, J. Oesterlé, A. Weinstein.
  subject:
    topic: Mathematics
  subject:
    topic: Topological groups
  subject:
    topic: Lie groups
  subject:
    topic: Mathematics
  subject:
    topic: Topological Groups, Lie Groups
  classification: QA252.3
  classification: QA387
  classification: 512.55
  classification: 512.482
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Progress in Mathematics ; 242
  identifier: 9783764373351
  identifier: http://dx.doi.org/10.1007/b137493
  record info:
    record creation date: 100301
    record change date: 20151204154615.0
    record identifier: 978-3-7643-7335-1