Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras

Nicole Snashall, and Rachel Taillefer. "Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras." Colloquium Mathematicae 119.1 (2010): 79-93. <http://eudml.org/doc/283588>.

@article{NicoleSnashall2010,
abstract = {We consider the socle deformations arising from formal deformations of a class of Koszul self-injective special biserial algebras which occur in the study of the Drinfeld double of the generalized Taft algebras. We show, for these deformations, that the Hochschild cohomology ring modulo nilpotence is a finitely generated commutative algebra of Krull dimension 2.},
author = {Nicole Snashall, Rachel Taillefer},
journal = {Colloquium Mathematicae},
keywords = {socle deformations; formal deformations; Koszul self-injective special biserial algebras; Hochschild cohomology rings},
language = {eng},
number = {1},
pages = {79-93},
title = {Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras},
url = {http://eudml.org/doc/283588},
volume = {119},
year = {2010},
}

TY - JOUR
AU - Nicole Snashall
AU - Rachel Taillefer
TI - Hochschild cohomology of socle deformations of a class of Koszul self-injective algebras
JO - Colloquium Mathematicae
PY - 2010
VL - 119
IS - 1
SP - 79
EP - 93
AB - We consider the socle deformations arising from formal deformations of a class of Koszul self-injective special biserial algebras which occur in the study of the Drinfeld double of the generalized Taft algebras. We show, for these deformations, that the Hochschild cohomology ring modulo nilpotence is a finitely generated commutative algebra of Krull dimension 2.
LA - eng
KW - socle deformations; formal deformations; Koszul self-injective special biserial algebras; Hochschild cohomology rings
UR - http://eudml.org/doc/283588
ER -