Erratum to “Brauer algebras of simply laced type”

Recently, Ivan Marin informed us of an error in the proof of Proposition 5.4 in the paper [2] entitled Brauer algebras of simply laced type. He also mentioned this observation in his preprint [3]. Here we give an improved argument. The result is exactly the same as for our incorrect argument and so other results using the proposition remain valid. We are grateful to Ivan Marin for pointing out the error.