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arXiv · 1910.01937

On $\tau$-tilting finite simply connected algebras

Qi Wang
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Abstract

We show that $\tau$-tilting finite simply connected algebras are representation-finite. Then, some related algebras are considered, including iterated tilted algebras, tubular algebras and so on. We also prove that the $\tau$-tilting finiteness of non-sincere algebras can be reduced to that of sincere algebras. This motivates us to give a complete list of $\tau$-tilting finite sincere simply connected algebras.

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BibTeXRIS

Qi Wang. 2019-10-04. On $\tau$-tilting finite simply connected algebras. https://doi.org/10.21099/tkbjm%2F20224601001

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