(Co)homology of quantum complete intersections

Details (Co)homology of quantum complete intersections (Co)homology of quantum complete intersections

2007-09-19

arxiv.org/abs/0709.3029v1

Mathematics

K-Theory and Homology

16 pages

Scientific paper

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.

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