| Résume | Abstract:
Many diagram algebras have originated from a vast range of areas in mathematics and physics; for example, the Temperley-Lieb algebras from statistical mechanics, the Brauer algebras from the study of the representation theory of orthogonal and symplectic groups, and the Birman-Murakami-Wenzl (BMW) algebras from the Kauffman link invariant and knot theory. They share close relationships with each other, and are also connected to the Artin braid groups, Lawrence-Krammer representations and Iwahori-Hecke algebras of the symmetric group.
We will discuss some BMW/Brauer-type objects associated with non-simply-laced Coxeter types, with the aim of mirroring and utilising the existing substructure relationships on the Coxeter diagram and type A level, together with the underlying root system/cell structures. |
