Bimodule resolution of Möbius algebras.

Generalov, A.I.; Kachalova, M.A.

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Displaying similar documents to “Bimodule resolution of Möbius algebras.”

Cohomology of algebras of dihedral type. I.

Generalov, A.I. (2002)

Zapiski Nauchnykh Seminarov POMI

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Hochschild cohomology of generalized multicoil algebras

Piotr Malicki, Andrzej Skowroński (2014)

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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.

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

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.

Cohomology of algebras of semidihedral type. IV.

Generalov, A.I. (2004)

Zapiski Nauchnykh Seminarov POMI

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Hochschild cohomology rings of algebras $k [X] / (f)$ .

Holm, Thorsten (2000)

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Hochschild Cohomology of skew group rings and invariants

E. Marcos, R. Martínez-Villa, Ma. Martins (2004)

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Let A be a k-algebra and G be a group acting on A. We show that G also acts on the Hochschild cohomology algebra HH ⊙ (A) and that there is a monomorphism of rings HH ⊙ (A) G→HH ⊙ (A[G]). That allows us to show the existence of a monomorphism from HH ⊙ (Ã) G into HH ⊙ (A), where Ã is a Galois covering with group G.

Distinguishing derived equivalence classes using the second Hochschild cohomology group

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.