3 citations · 6 across the 4 of their papers we have counts for
4 papers
Tangle and Brauer Diagram Algebras of Type Dn
Arjeh M. Cohen, D. A. H. Gijsbers, David B. Wales
A generalization of the Kauffman tangle algebra is given for Coxeter type Dn. The tangles involve a pole or order 2. The algebra is shown to be isomorphic to the Birman-Murakami-We…
The Birman-Murakami-Algebras Algebras of Type Dn
Arjeh M. Cohen, D. A. H. Gijsbers, David B. Wales
The Birman-Murakami-Wenzl algebra (BMW algebra) of type Dn is shown to be semisimple and free of rank (2^n+1)n!!-(2^(n-1)+1)n! over a specified commutative ring R, where n!! is the…
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…
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…