3 citations · 12 across the 11 of their papers we have counts for
11 papers
Classification of Imprimitive Irreducible Finite Sugroups of O(7)
David B. Wales
This work gives a classification of imprimitive irreducible finite subgroups of the orthogonal group O(7) plus the number of conjugate classes for each group.
The Burman-Murakami-Wenzl algebras of type En
Arjeh M. Cohen, David B. Wales
The Birman-Murakami-Wenzl algebras (BMW algebras) of type En for n=6,7,8 are shown to be semisimple and free over a quotient of a polynomial algebra of ranks 1,440,585; 139,613,625…
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…
Eigenvalues of the Derangement Graph
Cheng Yeaw Ku, David B. Wales
We consider the Cayley graph on the symmetric group Sn generated by derangements. It is well known that the eigenvalues of this grpah are indexed by partitions of n. We investigate…
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…