Skip to main content

Part of the book series: Grundlehren der mathematischen Wissenschaften ((GL,volume 327))

  • 1173 Accesses

Abstract

The aim of this chapter is to study the extremal property of lattices of one of the following two types:

  1. 1.

    G-lattices, which are invariant under a given finite subgroup G of the orthogonal group O(E).

  2. 2.

    (σ-isodual lattices, which are transformed into their dual by a given element σ of finite order in O(E).

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
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

© 2003 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Martinet, J. (2003). Group Actions. In: Perfect Lattices in Euclidean Spaces. Grundlehren der mathematischen Wissenschaften, vol 327. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05167-2_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-05167-2_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07921-4

  • Online ISBN: 978-3-662-05167-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics