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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.RT2009★ 20 cited
On the freeness of the cyclotomic BMW algebras: admissibility and an isomorphism with the cyclotomic Kauffman tangle algebras
Stewart Wilcox, Shona Yu
The cyclotomic Birman-Murakami-Wenzl (BMW) algebras B_n^k, introduced by R. Häring-Oldenburg, are a generalisation of the BMW algebras associated with the cyclotomic Hecke algebras…