3 citations · 12 across the 11 of their papers we have counts for
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Parameters for which the Lawrence-Krammer representation is reducible
Claire I. Levaillant, David B. Wales
We show that the Lawrence-Krammer representation based on two parameters that was used by Bigelow and independently Krammer to show the linearity of the braid group is generically…
Brauer Algebras of Simply Laced Type
Arjeh M Cohen, Bart Frenk, David Wales
The diagram algebra introduced by Brauer that describes the centralizer algebra on tensor products of the natural representation of an orthogonal group has a presentation by genera…
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…