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arXiv · 2002.08534

Report on the finiteness of silting objects

Takuma Aihara·Takahiro Honma·Kengo Miyamoto·Qi Wang
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Abstract

We discuss the finiteness of (two-term) silting objects. First, we investigate new triangulated categories without silting object. Second, one studies two classes of $\tau$-tilting-finite algebras and give the numbers of their two-term silting objects. Finally, we explore when $\tau$-tilting-finiteness implies representatoin-finiteness, and obtain several classes of algebras in which a $\tau$-tilting-finite algebra is representation-finite.

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Takuma Aihara, Takahiro Honma, Kengo Miyamoto, Qi Wang. 2020-02-20. Report on the finiteness of silting objects. https://doi.org/10.1017/s0013091521000109

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