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arXiv · 2101.11499

Some cluster tilting modules for weighted surface algebras

Karin Erdmann
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Abstract

Non-singular weighted surface algebras satisfy the necessary condition found in [6] for existence of cluster tilting modules. We show that any such algebra whose Gabriel quiver is bipartite, has a module satisfying the necessary ext vanishing condition. We show that it is 3-cluster tilting precisely for the non-singular triangular or spherical algebras but not for any other weighted surface algebra with bipartite Gabriel quiver.

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Karin Erdmann. 2021-01-27. Some cluster tilting modules for weighted surface algebras. https://arxiv.org/abs/2101.11499

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