IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-540-85332-9_22.html
   My bibliography  Save this book chapter

A Note on Quasi-Lie and Hom-Lie Structures of σ-Derivations of C=[Z 1 ±1 ,…,Z n ±1 ]

In: Generalized Lie Theory in Mathematics, Physics and Beyond

Author

Listed:
  • Lionel Richard

    (JCMB—King's Buildings, School of Mathematics of the University of Edinburgh and Maxwell Institute for Mathematical Sciences)

  • Sergei Silvestrov

    (Lund Institute of Technology, Lund University, Centre for Mathematical Sciences, Division of Mathematics)

Abstract

In a previous paper we studied the properties of the bracket defined by Hartwig, Larsson and the second author in (J. Algebra 295, 2006) on σ-derivations of Laurent polynomials in one variable. Here we consider the case of several variables, and emphasize on the question of when this bracket defines a hom-Lie structure rather than a quasi-Lie one.

Suggested Citation

  • Lionel Richard & Sergei Silvestrov, 2009. "A Note on Quasi-Lie and Hom-Lie Structures of σ-Derivations of C=[Z 1 ±1 ,…,Z n ±1 ]," Springer Books, in: Sergei Silvestrov & Eugen Paal & Viktor Abramov & Alexander Stolin (ed.), Generalized Lie Theory in Mathematics, Physics and Beyond, chapter 22, pages 257-262, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-85332-9_22
    DOI: 10.1007/978-3-540-85332-9_22
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-540-85332-9_22. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.