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Noncentral extensions as anomalies in classical dynamical systems

Symplectic Geometry 2015-06-26 v1

Abstract

A two cocycle is associated to any action of a Lie group on a symplectic manifold. This allows to enlarge the concept of anomaly in classical dynamical systems considered by F. Toppan [in J. Nonlinear Math. Phys. 8, no.3 (2001) 518-533] so as to encompass some extensions of Lie algebras related to noncanonical actions.

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Cite

@article{arxiv.math/0309099,
  title  = {Noncentral extensions as anomalies in classical dynamical systems},
  author = {Jorge E. Solomin and Marcela Zuccalli},
  journal= {arXiv preprint arXiv:math/0309099},
  year   = {2015}
}

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