Skip to main content

Stages and Coadjoint Orbits of Central Extensions

  • Chapter
  • 1156 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 1913)

This chapter addresses the basic theory of symplectic reduction by stages for central extensions. Examples are given in the following Chapter.

The main feature of this theory is that already after the first reduction, one encounters curvature, or magnetic terms and this complicates the subsequent reductions. To deal with this situation, we use the theory developed in the preceding chapter. The same sort of phenomenon also occurs in Lagrangian reduction by stages, as presented in Cendra, Marsden, and Ratiu [2001a].

Keywords

  • Symplectic Form
  • Central Extension
  • Cotangent Bundle
  • Coadjoint Orbit
  • Stage Reduction

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Rights and permissions

Reprints and Permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

(2007). Stages and Coadjoint Orbits of Central Extensions. In: Hamiltonian Reduction by Stages. Lecture Notes in Mathematics, vol 1913. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72470-4_8

Download citation