Advertisement

Eigenvalues for regular elements

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

Abstract

In this chapter, we discuss the eigenvalues of certain special elements of pseudo-reflection groups called regular elements. We shall prove that there are significant relations between such eigenvalues and the exponents of the group. Notably, we shall demonstrate that the exponents can be characterized in terms of the eigen-value data of regular elements. The results of this chapter are due to Coxeter [2] and Springer [2].

Keywords

Weyl Group Characteristic Zero Regular Element Primitive Root Reflection Group 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations