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Gauged Lie-Poisson structures

Montgomery, Richard and Marsden, Jerrold and Ratiu, Tudor (1984) Gauged Lie-Poisson structures. In: Fluids and plasmas : geometry and dynamics. Contemporary mathematics. No.28. American Mathematical Society , Boulder, Colorado, pp. 101-114. ISBN 0821850288

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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.

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Additional Information:© 1984 American Mathematical Society. Research partially supported by DOE contract DE-AT03-82ER12097. Research supported by an NSF postdoctoral fellowship.
Funding AgencyGrant Number
Department of Energy (DOE)DE-AT03-82ER12097
NSF Postdoctoral FellowshipUNSPECIFIED
Classification Code:1980 MSC: 58F05, 58F1 O.
Record Number:CaltechAUTHORS:20100913-074315409
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:19882
Deposited By: Ruth Sustaita
Deposited On:16 Sep 2010 20:58
Last Modified:01 May 2015 17:35

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