Finite Hochschild cohomology without finite global dimension

Details Finite Hochschild cohomology without finite global dimension Finite Hochschild cohomology without finite global dimension

2004-07-07

arxiv.org/abs/math/0407108v3

Math. Res. Lett., vol. 12 (2005), no. 6, 805-816

Mathematics

K-Theory and Homology

10 pages

Scientific paper

Dieter Happel asked the following question: If the $n$-th Hochschild
cohomology group of a finite dimensional algebra $\Gamma$ over a field vanishes
for all sufficiently large $n$, is the global dimension of $\Gamma$ finite? We
give a negative answer to this question.

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