On support varieties and tensor products for finite dimensional algebras
Representation Theory
2019-05-24 v1 K-Theory and Homology
Rings and Algebras
Abstract
It has been asked whether there is a version of the tensor product property for support varieties over finite dimensional algebras defined in terms of Hochschild cohomology. We show that in general no such version can exist. In particular, we show that for certain quantum complete intersections, there are modules and bimodules for which the variety of the tensor product is not even contained in the variety of the one-sided module.
Cite
@article{arxiv.1905.09377,
title = {On support varieties and tensor products for finite dimensional algebras},
author = {Petter Andreas Bergh and Mads Hustad Sandøy and Øyvind Solberg},
journal= {arXiv preprint arXiv:1905.09377},
year = {2019}
}
Comments
9 pages