(Joint work with Anton Cox and Chris Bowman).

The symmetric and general linear groups satisfy a double centralizer property over tensor space, known as Schur-Weyl duality. The Brauer algebra is an extension of the symmetric group and is in Schur-Weyl duality with the orthogonal (or symplectic) groups. The cyclotomic Brauer algebra is a corresponding extension of the complex reflection group of type G(m,1,n).

In this talk I will explain how its representation theory can be studied via truncation to idempotent subalgebras which are isomorphic to a product
of walled and classical Brauer algebras.