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Gentle m-Calabi-Yau tilted algebras

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 A and à , we prove that a module M is stable Cohen-Macaulay if and only if Ωᵐ⁺¹τM ≃ M.

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Bibliographic Details
Main Author: Garcia Elsener, A.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2020
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/188552
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