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This paper deals with derivations on algebras that are generated by a maximal abelian selfadjoint algebra of operators & on a Hubert space and a group of unitary operators acting on it. A necessary and sufficient condition for such a derivation to be implemented by an operator affiliated with & is given. The results are related to the study of derivations on a certain class of irreducible triangular algebras.doi:10.1090/s0002-9947-1983-0690051-9 fatcat:jxzor6wqsjbvldtkcowcjw24ki