Abstract
For algebras with radical square zero, we give a combinatorial description to the Tate-Hochschild cohomology. We compute the Gerstenhaber algebra structure on the Tate-Hochschild cohomology for some classes of such algebras.
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Acknowledgements
This work is a part of author’s PhD thesis. He would like to thank his supervisor Alexander Zimmermann for introducing this interesting topic and for his many valuable suggestions for improvement. He also would like to thank Huafeng Zhang for many useful discussions during this project. The author is indebted to Ragnar-Olaf Buchweitz for the constant support and encouragement.
The author is very grateful to the referee for valuable suggestions and comments. The author was partially supported by NSFC (No.11871071).
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Presented by: Sarah Witherspoon
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Wang, Z. Tate-Hochschild Cohomology of Radical Square Zero Algebras. Algebr Represent Theor 23, 169–192 (2020). https://doi.org/10.1007/s10468-018-9842-0
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DOI: https://doi.org/10.1007/s10468-018-9842-0