2 papers
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.RA2003
BMW algebras of simply laced type
A. M. Cohen, D. A. H. Gijsbers, D. B. Wales
It is known that the recently discovered representations of the Artin groups of type A_n, the braid groups, can be constructed via BMW algebras. We introduce similar algebras of ty…