Deformation theory via deviations
Markl, Martin, Stasheff, James D.
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Markl, Martin, Stasheff, James D.
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Marton Harris (1970)
Fundamenta Mathematicae
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L. Crane, D. N. Yetter (1998)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Stephan Klaus (2001)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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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.
Maria J. Vale (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Bacon, Philip (1979)
Portugaliae mathematica
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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.