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arXiv · 2306.14372

Generalized parallel paths method for computing the first Hochschild cohomology group with applications to Brauer graph algebras

Yuming Liu·Bohan Xing
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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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Yuming Liu, Bohan Xing. 2023-06-26. Generalized parallel paths method for computing the first Hochschild cohomology group with applications to Brauer graph algebras. https://doi.org/10.1142/s021949882650297x

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