(Co)homology of quantum complete intersections
K-Theory and Homology
2007-09-20 v1 Quantum Algebra
Abstract
We construct a minimal projective bimodule resolution for every finite dimensional quantum complete intersection of codimension two. Then we use this resolution to compute both the Hochschild cohomology and homology for such an algebra. In particular, we show that the cohomology vanishes in high degrees, while the homology is always nonzero.
Cite
@article{arxiv.0709.3029,
title = {(Co)homology of quantum complete intersections},
author = {Petter Andreas Bergh and Karin Erdmann},
journal= {arXiv preprint arXiv:0709.3029},
year = {2007}
}
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16 pages