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arXiv · 2112.08891

Tilting modules and exceptional sequences for a family of dual extension algebras

Elin Persson Westin·Markus Thuresson
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Abstract

We provide a classification of generalized tilting modules and full exceptional sequences for the dual extension algebra of the path algebra of a uniformly oriented linear quiver modulo the ideal generated by paths of length two with its opposite algebra. For the classification of generalized tilting modules we develop a combinatorial model for the poset of indecomposable self-orthogonal modules with standard filtration with respect to the relation arising from higher extensions.

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BibTeXRIS

Elin Persson Westin, Markus Thuresson. 2021-12-16. Tilting modules and exceptional sequences for a family of dual extension algebras. https://arxiv.org/abs/2112.08891

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