Cohomology of algebras of dihedral type. I.
Generalov, A.I. (2002)
Zapiski Nauchnykh Seminarov POMI
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Generalov, A.I. (2002)
Zapiski Nauchnykh Seminarov POMI
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Nicole Snashall, Rachel Taillefer (2010)
Colloquium Mathematicae
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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.
Piotr Malicki, Andrzej Skowroński (2014)
Colloquium Mathematicae
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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.
Dieter Happel (1990)
Banach Center Publications
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Ibrahim Assem, Juan Carlos Bustamante, Patrick Le Meur (2011)
Colloquium Mathematicae
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Let A be a special biserial algebra over an algebraically closed field. We show that the first Hohchshild cohomology group of A with coefficients in the bimodule A vanishes if and only if A is representation-finite and simply connected (in the sense of Bongartz and Gabriel), if and only if the Euler characteristic of Q equals the number of indecomposable non-uniserial projective-injective A-modules (up to isomorphism). Moreover, if this is the case, then all the higher Hochschild cohomology...
Generalov, A.I. (2004)
Zapiski Nauchnykh Seminarov POMI
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Holm, Thorsten (2000)
Beiträge zur Algebra und Geometrie
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Deena Al-Kadi (2010)
Colloquium Mathematicae
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We study the second Hochschild cohomology group of the preprojective algebra of type D₄ over an algebraically closed field K of characteristic 2. We also calculate the second Hochschild cohomology group of a non-standard algebra which arises as a socle deformation of this preprojective algebra and so show that the two algebras are not derived equivalent. This answers a question raised by Holm and Skowroński.
Generalov, A.I., Kachalova, M.A. (2005)
Zapiski Nauchnykh Seminarov POMI
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Keller, Bernhard (2001)
Homology, Homotopy and Applications
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Lu, Di Ming, Palmieri, John H., Wu, Quan Shui, Zhang, James J. (2008)
The New York Journal of Mathematics [electronic only]
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Jens P. Nielsen (1980)
Mathematica Scandinavica
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Rolf Farnsteiner (1988)
Mathematische Zeitschrift
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E.L. Green, D. Zacharia (1994)
Manuscripta mathematica
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Stanislaw Kasjan, José Antonio de la Peña (2005)
Extracta Mathematicae
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Blum, Stefan (2000)
Beiträge zur Algebra und Geometrie
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