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arXiv · 1208.4004

On m-cluster tilted algebras and trivial extensions

Elsa Fernández·Isabel Pratti·Sonia Trepode
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Abstract

In this work we study the connection between iterated tilted algebras and m-cluster tilted algebras. We show that an iterated tilted algebra induces an m-cluster tilted algebra. This m-cluster tilted algebra can be seen as a trivial extension of another iterated tilted algebra which is derived equivalent to the original one. We give a procedure to find this new iterated tilted algebra. These m-cluster tilted algebras are quotients of higher relation extensions.

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Elsa Fernández, Isabel Pratti, Sonia Trepode. 2012-08-20. On m-cluster tilted algebras and trivial extensions. https://arxiv.org/abs/1208.4004

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