Abstract
The notion of polarity, as well as its use in the context of optimal reduction, can be seen as a particular case of a more general construction known generically as dual pair. This chapter reviews some of the definitions of the concept of dual pair encountered in the literature, the relations between them, and some of their applications in the context of momentum maps and reduction theory.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2004 Juan Pablo Ortega and Tudor S. Ratiu
About this chapter
Cite this chapter
Ortega, JP., Ratiu, T.S. (2004). Dual Pairs. In: Momentum Maps and Hamiltonian Reduction. Progress in Mathematics, vol 222. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-3811-7_11
Download citation
DOI: https://doi.org/10.1007/978-1-4757-3811-7_11
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4757-3813-1
Online ISBN: 978-1-4757-3811-7
eBook Packages: Springer Book Archive