Finite Hochschild cohomology without finite global dimension
K-Theory and Homology
2007-05-23 v3 Representation Theory
Abstract
Dieter Happel asked the following question: If the -th Hochschild cohomology group of a finite dimensional algebra over a field vanishes for all sufficiently large , is the global dimension of finite? We give a negative answer to this question.
Cite
@article{arxiv.math/0407108,
title = {Finite Hochschild cohomology without finite global dimension},
author = {R. -O. Buchweitz and E. L. Green and D. Madsen and O. Solberg},
journal= {arXiv preprint arXiv:math/0407108},
year = {2007}
}
Comments
10 pages