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Poisson structures transverse to coadjoint orbits.

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Publication:1865008
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DOI10.1016/S0007-4497(02)01118-1zbMath1074.53070MaRDI QIDQ1865008

Richard H. Cushman, Roberts, Mark

Publication date: 23 March 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)


zbMATH Keywords

coadjoint orbittransverse structure


Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Semisimple Lie groups and their representations (22E46) Poisson manifolds; Poisson groupoids and algebroids (53D17)


Related Items

MULTIPLE HAMILTONIAN STRUCTURE OF BOGOYAVLENSKY–TODA LATTICES, Surprising properties of centralisers in classical Lie algebras, Stability of Poisson equilibria and Hamiltonian relative equilibria by energy methods, On sufficient and necessary conditions for linearity of the transverse Poisson structure, Hamiltonian systems near relative equilibria



Cites Work

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  • Errata and addenda
  • Some remarks on the transverse Poisson structures of coadjoint orbits
  • Simple singularities and simple algebraic groups
  • Hamiltonian systems near relative equilibria
  • Poisson algebras and transverse structures
  • Transverse Poisson structures of coadjoint orbits
  • Introduction to Lie Algebras and Representation Theory
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