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Algebras and Lie Groups

  • Boris Rosenfeld
Chapter
Part of the Mathematics and Its Applications book series (MAIA, volume 393)

Abstract

In 0.1.7 we have defined n-algebras, that is, rings that are linear spaces L n satisfying the axiom A.1° (0.13). In 0.1.7 we mentioned that the field ℂ of complex numbers is a commutative associative 2-algebra with basis e 0 = 1, e l = i (i 2 = −1).

Keywords

Associative Algebra Jordan Algebra Dynkin Diagram Root Vector Alternative Algebra 
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 Science+Business Media Dordrecht 1997

Authors and Affiliations

  • Boris Rosenfeld
    • 1
  1. 1.Department of MathematicsPennsylvania State UniversityUniversity ParkUSA

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