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math.RT2011
Brauer algebras of type B
Arjeh M. Cohen, Shoumin Liu
For each n>0, we define an algebra having many properties that one might expect to hold for a Brauer algebra of type Bn. It is defined by means of a presentation by generators and…
math.RT2011
Brauer algebras of type C
Arjeh M. Cohen, Shoumin Liu, Shona Yu
For each natural number n greater than 1, we define an algebra satisfying many properties that one might expect to hold for a Brauer algebra of type Cn. The monomials of this algeb…
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…