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On extensions for gentle algebras

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journal contribution
posted on 10.03.2020, 17:23 by Ilke Canakci, David Pauksztello, Sibylle Schroll
We 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/S0008414X2000005X

Author affiliation

Department of Mathematics

Version

AM (Accepted Manuscript)

Published in

Canadian Journal of Mathematics

Publisher

Cambridge Unversity Press for Canadian Mathematical Society

issn

0008-414X

eissn

1496-4279

Acceptance date

20/01/2020

Copyright date

2020

Available date

02/08/2017

Publisher version

https://www.cambridge.org/core/journals/canadian-journal-of-mathematics/article/on-extensions-for-gentle-algebras/B8CF08D6367FF3773FC8DCFE028C2462

Language

en