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

✍ Scribed by Guy Rousseau

• Publisher: Springer
• Year: 1990
• Tongue: English
• Weight: 566 KB
• Volume: 35
• Category: Article
• ISSN: 0046-5755
• DOI: 10.1007/bf00147338

✦ Synopsis

The affine Weyl group W~ of an irreducible root system of rank n acts on the complexification b 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 b' of some complex hyperplanes. We prove a presentation of the fundamental group of the quotient I)'/W~.