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This article is cited in 2 scientific papers (total in 2 papers)
RESEARCH ARTICLE
Gentle $m$-Calabi–Yau tilted algebras
A. Garcia Elsenerab a Universisty of Graz, Institute of Mathematics and Scientific Computing - NAWI Graz, Heinrichstrasse 36, 8010, Graz, Austria
b Universidad Nacional de Mar del Plata, Departamento de Matematica, Dean Funes 3350, Argentina
Abstract:
We prove that all gentle 2-Calabi–Yau tilted algebras are Jacobian, moreover their bound quiver can be obtained via block decomposition. For two related families, the $m$-cluster-tilted algebras of type $\mathbb{A}$ and $\tilde{\mathbb{A}}$, we prove that a module $M$ is stable Cohen-Macaulay if and only if $\Omega^{m+1} \tau M \simeq M$.
Keywords:
2-Calabi–Yau tilted algebras, Jacobian algebras, Gentle algebras, derived category, Cohen-Macaulay modules, cluster-tilted algebras.
Received: 26.07.2019 Revised: 17.12.2019
Citation:
A. Garcia Elsener, “Gentle $m$-Calabi–Yau tilted algebras”, Algebra Discrete Math., 30:1 (2020), 44–62
Linking options:
https://www.mathnet.ru/eng/adm764 https://www.mathnet.ru/eng/adm/v30/i1/p44
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Abstract page: | 55 | Full-text PDF : | 50 | References: | 8 |
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