We determine the Hochschild cohomology of all finite-dimensional generalized multicoil algebras over an algebraically closed field, which are the algebras for which the Auslander-Reiten quiver admits a separating family of almost cyclic coherent components. In particular, the analytically rigid generalized multicoil algebras are described.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm136-2-5,
author = {Piotr Malicki and Andrzej Skowro\'nski},
title = {Hochschild cohomology of generalized multicoil algebras},
journal = {Colloquium Mathematicae},
volume = {135},
year = {2014},
pages = {231-254},
zbl = {1330.16006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm136-2-5}
}
Piotr Malicki; Andrzej Skowroński. Hochschild cohomology of generalized multicoil algebras. Colloquium Mathematicae, Tome 135 (2014) pp. 231-254. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm136-2-5/