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arXiv · 1804.05361

Maximal forward hom-orthogonal sequences for cluster-tilted algebras of finite type

Alireza Nasr-Isfahani
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Abstract

Let $\Lambda$ be a cluster-tilted algebra of finite type over an algebraically closed field and $B$ be one of the associated tilted algebras. We show that the $B$-modules, ordered form right to left in the Auslander-Reiten quiver of $\Lambda$ form a maximal forward hom-orthogonal sequence of $\Lambda$-modules whose dimension vectors form the $c$-vectors of a maximal green sequence for $\Lambda$. Thus we give a proof of Igusa-Todorov's conjecture.

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BibTeXRIS

Alireza Nasr-Isfahani. 2018-04-15. Maximal forward hom-orthogonal sequences for cluster-tilted algebras of finite type. https://arxiv.org/abs/1804.05361

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