Borel Subgroups

  • James E. Humphreys
Part of the Graduate Texts in Mathematics book series (GTM, volume 21)


The structure of connected solvable groups is made clear enough by the results of the preceding chapter. What is still lacking is insight into the interaction between an arbitrary algebraic group and its subgroups of this type. Borel’s fixed point theorem (21.2) provides this insight. Here, for the first time, we make essential use of homogeneous spaces G/H which are projective (or complete) varieties. G will denote an arbitrary algebraic group, assumed from (21.3) on to be connected.


Algebraic Group Projective Variety Parabolic Subgroup Maximal Torus Closed Subgroup 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag New York Inc. 1975

Authors and Affiliations

  • James E. Humphreys
    • 1
  1. 1.University of MassachusettsAmherstUSA

Personalised recommendations