Algebras and Lie Groups

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


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).


Associative Algebra Jordan Algebra Dynkin Diagram Root Vector Alternative Algebra 
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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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