3 citations · 9 across the 8 of their papers we have counts for
9 papers
Inner ideals in Lie algebras and spherical buildings
Arjeh M. Cohen
The correspondence found by Faulkner between inner ideals of the Lie algebra of a simple algebraic group and shadows on long root groups of the building associated with the algebra…
The Burman-Murakami-Wenzl algebras of type En
Arjeh M. Cohen, David B. Wales
The Birman-Murakami-Wenzl algebras (BMW algebras) of type En for n=6,7,8 are shown to be semisimple and free over a quotient of a polynomial algebra of ranks 1,440,585; 139,613,625…
Brauer Algebras of Simply Laced Type
Arjeh M Cohen, Bart Frenk, David Wales
The diagram algebra introduced by Brauer that describes the centralizer algebra on tensor products of the natural representation of an orthogonal group has a presentation by genera…
Tangle and Brauer Diagram Algebras of Type Dn
Arjeh M. Cohen, D. A. H. Gijsbers, David B. Wales
A generalization of the Kauffman tangle algebra is given for Coxeter type Dn. The tangles involve a pole or order 2. The algebra is shown to be isomorphic to the Birman-Murakami-We…
Algorithm for Lang's Theorem
Arjeh M. Cohen, Scott H. Murray
We give an efficient algorithm for Lang's Theorem in split connected reductive groups defined over finite fields of characteristic greater than 3. This algorithm can be used to con…
Covers of Point-Hyperplane Graphs
Arjeh M. Cohen, E. J. Postma
We construct a cover of the non-incident point-hyperplane graph of projective dimension 3 for fields of characteristic 2. If the cardinality of the field is larger than 2, we obtai…