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Hochschild cohomology of truncated quiver algebras

Yunge Xu·Yang Han·Wenfeng Jiang
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Abstract

For a truncated quiver algebra over a field of arbitrary characteristic, its Hochschild cohomology is calculated. Moreover, it is shown that its Hochschild cohomology algebra is finite-dimensional if and only if its global dimension is finite if and only if its quiver has no oriented cycles.

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Yunge Xu, Yang Han, Wenfeng Jiang. 2005-09-09. Hochschild cohomology of truncated quiver algebras. https://arxiv.org/abs/math/0509202

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