Hochschild cohomology of the Liu--Schulz algebras

DOI10.1090/S1061-0022-07-00960-0zbMath1146.16005OpenAlexW1480509321MaRDI QIDQ5442122

A. I. Generalov, N. Yu. Kosovskaya

Publication date: 15 February 2008

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-07-00960-0

zbMATH Keywords

relationscohomology groupsgeneratorssymmetric algebrasHochschild cohomology algebrasLiu-Schulz example

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (10)

Hochschild cohomology for algebras of semidihedral type. VI: The family \(SD(2\mathcal{B})_2\) in characteristic different from 2 ⋮ Hochschild cohomology for algebras of semidihedral type. VII: Algebras with a small parameter ⋮ Hochschild cohomology of algebras of quaternion type. IV: Cohomology algebra for exceptional local algebras ⋮ Hochschild cohomology for algebras of dihedral type. V. the family \(D(3\mathcal{K})\) in characteristic different from 2 ⋮ Hochschild cohomology of algebras of semidihedral type. V: The family \( SD\left(3\mathcal{K}\right) \) ⋮ The Hochschild cohomology ring of Möbius algebras. ⋮ Hochschild cohomology of algebras of semidihedral type. IV: The cohomology algebra for the family \(SD(2\mathcal B)_2(k,t,c)\) in the case \(c=0\). ⋮ Hochschild cohomology of algebras of semidihedral type. I. Group algebras of semidihedral groups ⋮ Hochschild cohomology of algebras of dihedral type. VIII: Hochshild cohomology algebra for the family \(D(2\mathcal{B})(k, s, 0)\) in characteristic 2 ⋮ Hochschild comohology for algebras of dihedral type, VI. The family $D(2\mathcal B)(k,s,1)$

Cites Work

• Boundedness and periodicity of modules over QF rings
• Blocks of tame representation type and related algebras
• Hochschild cohomology algebra of abelian groups
• The cohomology structure of an associative ring
• Cohomology theory in abstract groups. I
• Bimodule resolution of the Liu-Schulz algebras
• The Cohomology Ring of a Finite Group
• The Existence of Bounded Infinite DTr-Orbits
• The hochschild cohomology ring of a modular group algebra: the commutative case
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