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arXiv · 1803.10707

Tilting modules for the Auslander algebra of $K[x]/(x^n)$

Jan Geuenich
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Abstract

We construct an isomorphism between the partially ordered set of tilting modules for the Auslander algebra of $K[x]/(x^n)$ and the interval of rational permutation braids in the braid group on $n$ strands. Hence, there are only finitely many tilting modules.

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Jan Geuenich. 2018-03-28. Tilting modules for the Auslander algebra of $K[x]/(x^n)$. https://arxiv.org/abs/1803.10707

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