IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-0348-9078-6_68.html
   My bibliography  Save this book chapter

Spherical Varieties

In: Proceedings of the International Congress of Mathematicians

Author

Listed:
  • Michel Brion

    (Ecole Normale Supérieure)

Abstract

Consider a connected reductive algebraic groupG over an algebraically closed field k, a Borel subgroup B of G, and a closed subgroupH ⊂G. The homogeneous space G/H is spherical if B acts on it with an open orbit. Examples include flag varieties (H is parabolic in G); more generally, G/H is spherical whenever H contains a maximal unipotent subgroup of G. Another class of examples consists in symmetric spaces; here H is the fixed point set of an involutive automorphism of G. More exotic examples areG2/SL3 and the quotient of SL2 ×SL2 ×SL2 by its diagonal.

Suggested Citation

  • Michel Brion, 1995. "Spherical Varieties," Springer Books, in: S. D. Chatterji (ed.), Proceedings of the International Congress of Mathematicians, pages 753-760, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-9078-6_68
    DOI: 10.1007/978-3-0348-9078-6_68
    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:978-3-0348-9078-6_68. 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.