The second Hochschild cohomology and deformations of Brauer graph algebras

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Yuming Liu, Zhengfang Wang, Bohan Xing
DOI: 10.48550/arxiv.2601.06888
Cited by: 0

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.

Fields of Study & Subjects

Algebraic structures and combinatorial models Advanced Topics in Algebra Rings Modules and Algebras

Publication details

Journal / source
arXiv (Cornell University)
Publication date
11 January 2026
Document type
Preprint