Abstract: Classical Schur-Weyl duality relates Schur algebras of infinite general linear groups with finite symmetric groups via commuting actions on tensor space. Similarly, Schur algebras of symplectic or orthgonal groups are related with Brauer algebras. Now replace tensor space by a direct sum of tensor products of symmetric powers. For general linear groups, the endomorphism ring is the classical Schur algebra. For orthogonal and symplectic groups, however, the endomorphism ring is a new
algebra, which at the same time plays the role of a Schur algebra for Brauer's algebra. (This is joint work with Anne Henke.)