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Paper   IPM / P / 7157
School of Physics
  Title:   Dirac Structures on Modules 2
  Author(s):  A. Shafei Deh Abad
  Status:   Preprint
  No.:  0
  Year:  1999
  Supported by:  IPM
In this paper following [4], we introduce the notions of Lie pseudo-algebras and d-modules, study their basic properties, and present the definition of integrable Dirac structures on d-modules over a commutative ring. We then prove that each integrable Dirac structure gives rise to a Poisson pseudo-algebra. We also examine the associated Hamiltonian systems and give some examples.

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