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{10_4064_cm136_2_5,
author = {Piotr Malicki and Andrzej Skowro\'nski},
title = {Hochschild cohomology of
generalized multicoil algebras},
journal = {Colloquium Mathematicum},
pages = {231--254},
year = {2014},
volume = {136},
number = {2},
doi = {10.4064/cm136-2-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm136-2-5/}
}
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AU - Andrzej Skowroński
TI - Hochschild cohomology of
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JO - Colloquium Mathematicum
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EP - 254
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Piotr Malicki; Andrzej Skowroński. Hochschild cohomology of
generalized multicoil algebras. Colloquium Mathematicum, Tome 136 (2014) no. 2, pp. 231-254. doi: 10.4064/cm136-2-5