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arxiv: math/0210362 · v1 · submitted 2002-10-23 · 🧮 math.RT · math.RA

Radical embeddings and representation dimension

classification 🧮 math.RT math.RA
keywords dimensionrepresentationalgebracoincideembeddingsfinitefinitisticgiven
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Given a representation-finite algebra B and a subalgebra A of B such that the Jacobson radicals of A and B 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.

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