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Published 1984 | Published
Book Section - Chapter Open

Gauged Lie-Poisson structures

Abstract

A global formula for Poisson brackets on reduced cotangent bundles of principal bundles is derived. The result bears on the basic constructions for interacting systems due to Sternberg and Weinstein and on Poisson brackets involving semi-direct products for fluid and plasma systems. The formula involves Lie-Poisson structures, canonical brackets, and curvature terms.

Additional Information

© 1984 American Mathematical Society. Research partially supported by DOE contract DE-AT03-82ER12097. Research supported by an NSF postdoctoral fellowship.

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August 19, 2023
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