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most citedMagnetization plateaus in frustrated antiferromagnetic quantum spin models

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math.RT2006

Maximal n-orthogonal modules for selfinjective algebras

Karin Erdmann, Thorsten Holm

Let A be a selfinjective algebra. We show that, for any n, maximal n-orthogonal A-modules (in the sense of Iyama), rarely exist. More precisely, we prove that if A admits a maximal…

math.RT2006★ 1 cited

Generalized Reynolds ideals for non-symmetric algebras

Christine Bessenrodt, Thorsten Holm, Alexander Zimmermann

We show how to extend the theory of generalized Reynolds ideals, as introduced by B. K"ulshammer, from symmetric algebras to arbitrary finite-dimensional algebras (in positive char…

math.RT2002

Radical embeddings and representation dimension

Karin Erdmann, Thorsten Holm, Osamu Iyama +1

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 thre…