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math.GR2005
A Poset Connected to Artin Monoids of Simply Laced Type
A. M. Cohen, D. A. H. Gijsbers, D. B. Wales
Let W be a Weyl group whose type is a simply laced Dynkin diagram. On several W-orbits of sets of mutually commuting reflections, a poset is described which plays a role in linear…
math.GR2000
Linearity of Artin groups of finite type
Arjeh M. Cohen, David B. Wales
Recent results on the linearity of braid groups are extended in two ways. We generalize the Lawrence Krammer representation as well as Krammer's faithfulness proof for this linear…