Gentle m-Calabi-Yau tilted algebras

Ana García Elsener

doi:10.12958/adm1423

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Gentle m-Calabi-Yau tilted algebras

Ana García Elsener

Year: 2020 Journal: Algebra and Discrete Mathematics Vol: 30 (1)Pages: 44-62

DOI: 10.12958/adm1423

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

Keywords:

Calabi–Yau manifold Quiver Jacobian matrix and determinant Pure mathematics Mathematics Block (permutation group theory) Decomposition Type (biology) Algebra over a field Combinatorics Chemistry Geology

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Algebraic structures and combinatorial models

Physical Sciences → Mathematics → Geometry and Topology

Advanced Topics in Algebra

Physical Sciences → Mathematics → Algebra and Number Theory

Nonlinear Waves and Solitons

Physical Sciences → Physics and Astronomy → Statistical and Nonlinear Physics

Gentle m-Calabi-Yau tilted algebras

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