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Subroot systems

  • Richard Kane
  • Jonathan Borwein
  • Peter Borwein
Part of the CMS Books in Mathematics book series (CMSBM)

Abstract

In this chapter we explain, and justify, an algorithm for determining the closed subroot systems of a given crystallographic root system. The arguments of this chapter provide a nice illustration of the effectiveness of passing from the ordinary Weyl group to the affine Weyl group when studying root systems.

Keywords

Root System Root Lattice Weyl Group Fundamental System Short Root 
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 New York 2001

Authors and Affiliations

  • Richard Kane
    • 1
  • Jonathan Borwein
    • 2
  • Peter Borwein
    • 2
  1. 1.Department of MathematicsUniversity of Western OntarioLondonCanada
  2. 2.Centre for Experimental and Constructive Mathematics, Department of Mathematics and StatisticsSimon Fraser UniversityBurnabyCanada

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