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arXiv · 1709.03618

Exceptional sequences and spherical modules for the Auslander algebra of $k[x]/(x^t)$

Lutz Hille·David Ploog
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Abstract

We classify spherical modules and full exceptional sequences of modules over the Auslander algebra of $k[x]/(x^t)$. We categorify the left and right symmetric group actions on these exceptional sequences to two braid group actions: of spherical twists along simple modules, and of right mutations. In particular, every such exceptional sequence is obtained by spherical twists from a standard sequence, and likewise for right mutations.

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BibTeXRIS

Lutz Hille, David Ploog. 2017-09-11. Exceptional sequences and spherical modules for the Auslander algebra of $k[x]/(x^t)$. https://doi.org/10.2140/pjm.2019.302.599

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