On extensions for gentle algebras
Version 2 2020-03-10, 17:23
Version 1 2017-08-02, 13:21
journal contribution
posted on 2020-03-10, 17:23 authored by Ilke Canakci, David Pauksztello, Sibylle SchrollWe develop an algorithmic method for determining the cohomology of homotopy string and band complexes in the derived category of a gentle algebra. We then use this to give a complete description of a basis of the extensions between string and quasi-simple band modules in the module category of a gentle algebra.
Funding
This work has been supported by the EPSRC through the grants EP/K026364/1, EP/K022490/1 and EP/N005457/1. The third author is supported by the EPSRC through an Early Career Fellowship EP/P016294/1.
History
Citation
Canadian Journal of Mathematics, 2020, DOI: https://doi.org/10.4153/S0008414X2000005XAuthor affiliation
Department of MathematicsVersion
- AM (Accepted Manuscript)
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Canadian Journal of MathematicsPublisher
Cambridge Unversity Press for Canadian Mathematical Societyissn
0008-414Xeissn
1496-4279Acceptance date
2020-01-20Copyright date
2020Available date
2017-08-02Publisher DOI
Publisher version
https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/on-extensions-for-gentle-algebras/B8CF08D6367FF3773FC8DCFE028C2462Language
enAdministrator link
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