• Corpus ID: 9075493

The Birman-Murakami-Algebras Algebras of Type Dn

@article{Cohen2007TheBA,
  title={The Birman-Murakami-Algebras Algebras of Type Dn},
  author={Arjeh M. Cohen and Di{\'e} A. H. Gijsbers and David B. Wales},
  journal={arXiv: Representation Theory},
  year={2007}
}
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 product of the first n odd integers. We also show it is a cellular algebra over suitable ring extensions of R. The Brauer algebra of type Dn is the image af an R-equivariant homomorphism and is also semisimple and free of the same rank, but over the polynomial ring Z with delta and its inverse adjoined. A rewrite… 
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