On $\tau$-tilting theory

Takahide Adachi; Osamu Iyama; Idun Reiten

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arXiv · 2410.15842

On $\tau$-tilting theory

Takahide Adachi·Osamu Iyama·Idun Reiten

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Abstract

We give a brief introduction to $\tau$-tilting theory [AIR]. In particular, we will see how our theory unifies two different branches of tilting theory, namely, silting theory and cluster tilting theory. We also introduce the history and recent developments.

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Takahide Adachi, Osamu Iyama, Idun Reiten. 2024-10-21. On $\tau$-tilting theory. https://arxiv.org/abs/2410.15842

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