23 citations · 43 across the 5 of their papers we have counts for
6 papers
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…
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…
Computing Chevalley bases in small characteristics
Arjeh M. Cohen, Dan A. Roozemond
Let L be the Lie algebra of a simple algebraic group defined over a field F and let H be a split Cartan subalgebra of L. Then L has a Chevalley basis with respect to H. If the char…
Simple Lie Algebras having Extremal Elements
Arjeh M. Cohen, Gabor Ivanyos, Dan A. Roozemond
Let L be a simple finite-dimensional Lie algebra of characteristic distinct from 2 and from 3. Suppose that L contains an extremal element that is not a sandwich, that is, an eleme…
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…
BMW algebras of simply laced type
A. M. Cohen, D. A. H. Gijsbers, D. B. Wales
It is known that the recently discovered representations of the Artin groups of type A_n, the braid groups, can be constructed via BMW algebras. We introduce similar algebras of ty…