Skip to main content

Higher Degree Poisson Structures

  • Chapter
Poisson Structures

Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 347))

  • 3171 Accesses

Abstract

In this chapter we consider weight homogeneous Poisson structures, the simplest of which (homogeneous Poisson structures of degree 0 or 1) have been considered in the previous chapters. Other distinguished classes of weight homogeneous Poisson structures, considered in this chapter, are quadratic Poisson structures (for which a partial classification is given, with the help of the modular vector field), rank two Poisson structures arizing from weight homogeneous Nambu–Poisson structures and the transverse Poisson structures to adjoint orbits in a semi-simple Lie algebra.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 159.99
Price excludes VAT (USA)
  • Durable hardcover 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Laurent-Gengoux, C., Pichereau, A., Vanhaecke, P. (2013). Higher Degree Poisson Structures. In: Poisson Structures. Grundlehren der mathematischen Wissenschaften, vol 347. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31090-4_8

Download citation

Publish with us

Policies and ethics