On m-cluster tilted algebras and trivial extensions
Rings and Algebras
2012-08-21 v1 Representation Theory
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.
Keywords
Cite
@article{arxiv.1208.4004,
title = {On m-cluster tilted algebras and trivial extensions},
author = {Elsa Fernández and Isabel Pratti and Sonia Trepode},
journal= {arXiv preprint arXiv:1208.4004},
year = {2012}
}