3 citations · 12 across the 11 of their papers we have counts for
3 papers · 1 filter
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…
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…
Lie algebras generated by extremal elements
Arjeh M. Cohen, Anja Steinbach, Rosane Ushirobira +1
We study Lie algebras generated by extremal elements (i.e., elements spanning inner ideals of L) over a field of characteristic distinct from 2. We prove that any Lie algebra gener…