Finite Hochschild cohomology without finite global dimension
R. -O. Buchweitz, E. L. Green, D. Madsen, O. Solberg
Abstract
Dieter Happel asked the following question: If the n-th Hochschild cohomology group of a finite dimensional algebra Γ over a field vanishes for all sufficiently large n, is the global dimension of Γ finite? We give a negative answer to this question.
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