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Tate-Hochschild Cohomology of Radical Square Zero Algebras

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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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Authors and Affiliations

  1. Beijing International Center for Mathematical Research, Peking University, No. 5 yiheyuan Road Haidian District, 100871, Beijing, China

    Zhengfang Wang

  2. Université Paris Diderot-Paris 7, Institut de Mathématiques de Jussieu-Paris Rive Gauche CNRS UMR 7586, Bâtiment Sophie Germain, Case 7012, 75205, Paris Cedex 13, France

    Zhengfang Wang

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  1. Zhengfang Wang
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Correspondence to Zhengfang Wang.

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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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