Eigenvalues for regular elements
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  and Springer .
KeywordsWeyl Group Characteristic Zero Regular Element Primitive Root Reflection Group
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