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.)