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arXiv · 1602.02318

Endomorphism algebras for a class of negative Calabi-Yau categories

Raquel Coelho Simoes·Mark James Parsons
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Abstract

We consider an orbit category of the bounded derived category of a path algebra of type A_n which can be viewed as a -(m+1)-cluster category, for m >= 1. In particular, we give a characterisation of those maximal m-rigid objects whose endomorphism algebras are connected, and then use it to explicitly study these algebras. Specifically, we give a full description of them in terms of quivers and relations, and relate them with (higher) cluster-tilted algebras of type A. As a by-product, we introduce a larger class of algebras, called 'tiling algebras'.

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Raquel Coelho Simoes, Mark James Parsons. 2016-02-06. Endomorphism algebras for a class of negative Calabi-Yau categories. https://arxiv.org/abs/1602.02318

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