Hochschild cohomology of truncated quiver algebras
classification
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math.RT
keywords
cohomologyhochschildquiveralgebraonlytruncatedalgebrasarbitrary
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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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