by Erdmann, K., Holm, Th., Iyama, O., Schröer, J..
Series: 2002-33, Preprints
Given a representation-finite algebra B and a subalgebra
A of B such that the Jacobson radicals coincide, we prove
that the representation dimension of A is at most three.
By a result of Igusa and Todorov, this implies that the
finitistic dimension of A is finite.
representation dimension, finitistic dimension conjecture