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20022009
most citedOn a triangulated category which behaves like a cluster category of infinite Dynkin type, and the relation to triangulations of the infinity-gon

7 citations · 15 across the 12 of their papers we have counts for

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Showing 2006Show all

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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…