  A complete system of pairwise orthogonal minimal idempotents for
Birman-Murakami-Wenzl algebras is obtained by a consecutive evaluation of a
rational function in several variables on sequences of quantum contents of
up-down tableaux. A by-product of the construction is a one-parameter family of
fusion procedures for Hecke algebras. Classical limits to two different fusion
procedures for Brauer algebras are described.
