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arXiv · 1112.3870

On one-point extensions of cluster-tilted algebras

Miki Oryu·Ralf Schiffler
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Abstract

We define an operation which associates to a pair (B,M) where B is a cluster-tilted algebra and M is a B-module which lies in a local slice of B, a new cluster-tilted algebra B'. In terms of the quivers, this operation corresponds to adding one vertex (and arrows).

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Miki Oryu, Ralf Schiffler. 2011-12-16. On one-point extensions of cluster-tilted algebras. https://arxiv.org/abs/1112.3870

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