“School of Physics”
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| Paper IPM / P / 7157 |
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| Abstract: | |
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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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