From iterated tilted algebras to cluster-tilted algebras
Michael Barot, Elsa Fern\'andez, Mar\'ia In\'es Platzeck, Nilda Isabel, Pratti, Sonia Trepode
TL;DR
This paper explores the strong combinatorial relationship between iterated tilted algebras and cluster-tilted algebras, especially in the Dynkin case, enhancing understanding of their structural connections.
Contribution
It establishes a detailed link between iterated tilted algebras and cluster-tilted algebras, focusing on relation-extensions and the Dynkin case.
Findings
Strong combinatorial relationship in the Dynkin case
Connection via relation-extensions clarified
Structural insights into cluster-tilted algebras obtained
Abstract
In this paper the relationship between iterated tilted algebras and cluster-tilted algebras and relation-extensions is studied. In the Dynkin case, it is shown that the relationship is very strong and combinatorial.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons