16 citations · 18 across the 3 of their papers we have counts for
4 papers
On convex hulls of orbits of Coxeter groups and Weyl groups
Georg Hofmann, Karl-Hermann Neeb
The notion of a linear Coxeter system introduced by Vinberg generalizes the geometric representation of a Coxeter group. Our main theorem asserts that if is an element of the T…
The Weyl group of type root systems extended by an abelian group
Georg W. Hofmann
We investigate the class of root systems obtained by extending an -type irreducible root system by a free abelian group . In this context there is a Weyl group and…
Symmetric Systems and their Applications to Root Systems Extended by Abelian Groups
Georg W. Hofmann
We investigate the class of root systems R obtained by extending an irreducible root system by a torsion-free group G. In this context there is a Weyl group W and a group U with th…
Weyl Groups with Coxeter Presentation and Presentation by Conjugation
Georg Hofmann
We investigate which Weyl groups have a Coxeter presentation and which of them at least have the presentation by conjugation with respect to their root system. For most concepts of…