Generalized parallel paths method for computing the first Hochschild cohomology group with applications to Brauer graph algebras
Rings and Algebras
2026-01-12 v4
Abstract
We use algebraic Morse theory to generalize the parallel paths method for computing the first Hochschild cohomology groups. As an application, we describe and compare the Lie structures of the first Hochschild cohomology groups of Brauer graph algebras and their associated graded algebras.
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Cite
@article{arxiv.2306.14372,
title = {Generalized parallel paths method for computing the first Hochschild cohomology group with applications to Brauer graph algebras},
author = {Yuming Liu and Bohan Xing},
journal= {arXiv preprint arXiv:2306.14372},
year = {2026}
}
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37 pages