Geometry and Topology of Coxeter Groups. (LMS-32)
The Geometry and Topology of Coxeter Groups is a comprehensive and authoritative treatment of Coxeter groups from the viewpoint of geometric group theory. Groups generated by reflections are ubiquitous in mathematics, and there are classical examples of reflection groups in spherical, Euclidean, and hyperbolic geometry. Any Coxeter group can be realized as a group generated by reflection on a certain contractible cell complex, and this complex is the principal subject of this book. The book explains a theorem of Moussong that demonstrates that a polyhedral metric on this cell complex is nonpositively curved, meaning that Coxeter groups are CA…
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Produktdetails
- ISBN: 978-1-4008-4594-1
- EAN: 9781400845941
- Produktnummer: 19574419
- Verlag: Princeton University Press
- Sprache: Englisch
- Erscheinungsjahr: 2012
- Seitenangabe: 600 S.
- Plattform: PDF
- Masse: 0 KB
Über den Autor
Michael W. Davis
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