Simple Singularities and Complex Reflections

  • Peter Slodowy
Part of the NATO Science Series book series (NAII, volume 21)


The Weyl groups of type A k , D k , E k play an important role in the study of the corresponding simple singularities, e.g. they are realised as the full monodromy groups of these singularities (in dimension 2), and the base of the semiuniversal deformation of such a singularity is naturally identified with the complex orbit space of the Weyl group, cf. [1, 3], [5], [34, 35].


Weyl Group Regular Element Monodromy Group Reflection Group Complex Reflection 
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© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • Peter Slodowy
    • 1
  1. 1.Mathematisches Seminar der Universität HamburgGermany

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