Geometriae Dedicata

, Volume 35, Issue 1–3, pp 31–42 | Cite as

Le groupe fondamental de certains espaces d'orbites regulieres de groupes de Weyl affines

  • Guy Rousseau
Article
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Abstract

The affine Weyl group Waof an irreducible root system of rank n acts on the complexification h of a real space of dimension n via the usual (affine) action on the imaginary part and the action through the finite Weyl group on the real part. This group acts freely on the complement h of some complex hyperplanes. We prove a presentation of the fundamental group of the quotient hWa.

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Copyright information

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • Guy Rousseau
    • 1
  1. 1.Unité associée au C.N.R.S. n° 750Département de mathématiques de l'Université Nancy 1Vandoeuvre lès Nancy CedexFrance

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