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arXiv · 1808.05184

Higher support tilting I: higher Auslander algebras of linearly oriented type $A$

Jordan McMahon
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Abstract

For a path algebra $A$ over a quiver $Q$, there are bijections between the support-tilting modules of $A$, torsion classes in $\mathrm{mod}(A)$ and wide subcategories in $\mathrm{mod}(A)$; these are part of the Ingalls-Thomas bijections. As a blueprint for further study, we show how these bijections manifest themselves for higher Auslander algebras of linearly oriented type $A$. In particular, we introduce a higher analogue of torsion classes in $d$-representation-finite algebras.

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BibTeXRIS

Jordan McMahon. 2018-08-15. Higher support tilting I: higher Auslander algebras of linearly oriented type $A$. https://arxiv.org/abs/1808.05184

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