A q-Brauer algebra

We define a new q-deformation of Brauerʼs centralizer algebra which contains Hecke algebras of type A as unital subalgebras. We determine its generic structure as well as the structure of certain semisimple quotients. This is expected to have applications for constructions of subfactors of type II1 factors and for module categories of fusion categories of type A corresponding to certain symmetric spaces.