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arXiv · 2011.02085

$\tau$-tilting finite triangular matrix algebras

Takuma Aihara·Takahiro Honma
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Abstract

First, we give a new example of silting-discrete algebras. Second, one explores when the algebra of triangular matrices over a finite dimensional algebra is $\tau$-tilting finite. In particular, we classify algebras over which triangular matrix algebras are $\tau$-tilting finite. Finally, we investigate when a triangular matrix algebra is silting-discrete.

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Takuma Aihara, Takahiro Honma. 2020-11-04. $\tau$-tilting finite triangular matrix algebras. https://arxiv.org/abs/2011.02085

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