• 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}
}
• Published 20 April 2007
• Mathematics
• arXiv: Representation Theory
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…
4 Citations

## Figures and Tables from this paper

Brauer algebras of type B
• Mathematics
• 2011
For each n=1, we define an algebra having many properties that one might expect to hold for a Brauer algebra of type B_n. It is defined by means of a presentation by generators and relations. We show
The Birman-Murakami-Wenzl algebras of type En
• Mathematics
• 2011