  Let $\Lambda$ be an artin algebra with representation dimension equal to
three and $M$ an Auslander generator of $\Lambda$. We show how, under certain
assumptions, we can mutate $M$ to get a new Auslander generator whose
endomorphism ring is derived equivalent to the endomorphism ring of $M$. We
apply our results to selfinjective algebras with radical cube zero of infinite
representation type, where we construct an infinite set of Auslander
generators.
