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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2020 |
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| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188552 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Gentle m-Calabi-Yau tilted algebras / A. Garcia Elsener // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 1. — С. 44–62. — Бібліогр.: 28 назв. — англ. |
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Garcia Elsener, A. 2023-03-05T17:22:34Z 2023-03-05T17:22:34Z 2020 Gentle m-Calabi-Yau tilted algebras / A. Garcia Elsener // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 1. — С. 44–62. — Бібліогр.: 28 назв. — англ. 1726-3255 DOI:10.12958/adm1423 https://nasplib.isofts.kiev.ua/handle/123456789/188552 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. Supported by CONICET and PICT 2013-0799 ANPCyT (Argentina) and P 30549 FWF 2017-2020 (Austria). en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Gentle m-Calabi-Yau tilted algebras Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Gentle m-Calabi-Yau tilted algebras |
| spellingShingle |
Gentle m-Calabi-Yau tilted algebras Garcia Elsener, A. |
| title_short |
Gentle m-Calabi-Yau tilted algebras |
| title_full |
Gentle m-Calabi-Yau tilted algebras |
| title_fullStr |
Gentle m-Calabi-Yau tilted algebras |
| title_full_unstemmed |
Gentle m-Calabi-Yau tilted algebras |
| title_sort |
gentle m-calabi-yau tilted algebras |
| author |
Garcia Elsener, A. |
| author_facet |
Garcia Elsener, A. |
| publishDate |
2020 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188552 |
| citation_txt |
Gentle m-Calabi-Yau tilted algebras / A. Garcia Elsener // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 1. — С. 44–62. — Бібліогр.: 28 назв. — англ. |
| work_keys_str_mv |
AT garciaelsenera gentlemcalabiyautiltedalgebras |
| first_indexed |
2025-12-07T20:48:25Z |
| last_indexed |
2025-12-07T20:48:25Z |
| _version_ |
1850883970748645376 |