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arXiv · 2601.06888

The second Hochschild cohomology and deformations of Brauer graph algebras

Yuming Liu·Zhengfang Wang·Bohan Xing
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Abstract

In this paper, we give an explicit description about the second Hochschild cohomology groups of bipartite Brauer graph algebras with trivial grading. Based on this, we provide geometric interpretations of deformations associated to some standard cocycles in terms of the surface models of Brauer graph algebras.

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Yuming Liu, Zhengfang Wang, Bohan Xing. 2026-01-11. The second Hochschild cohomology and deformations of Brauer graph algebras. https://arxiv.org/abs/2601.06888

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