Representations and Classification of Semisimple Groups

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


In order to classify (up to isomorphism) the possible semisimple algebraic groups, we have to get a little information about their representations. For this purpose, (31.1)–(31.3), and the first few paragraphs of (31.4), will be essential. The reader is of course encouraged to read the rest of §31, even though this is not essential to the further development.


Fundamental Group Algebraic Group Simple Root Maximal Torus Borel 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.


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Copyright information

© Springer-Verlag New York Inc. 1975

Authors and Affiliations

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

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