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arXiv · 1309.2216

The classification of τ-tilting modules over Nakayama algebras

Takahide Adachi
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Abstract

In this paper, we study tau-tilting modules over Nakayama algebras. We establish bijections between tau-tilting modules, triangulations of a polygon with a puncture and certain integer sequences. Moreover, we give an algorithm to construct the Hasse quiver of support tau-tilting modules by using Rejection Lemma of Drozd-Kirichenko.

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Takahide Adachi. 2015-08-10. The classification of τ-tilting modules over Nakayama algebras. https://arxiv.org/abs/1309.2216

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