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math.RT2007★ 3 cited
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…
math.RT2007★ 3 cited
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…