BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two

DOI10.1016/j.jalgebra.2015.04.004zbMath1361.16005arXiv1407.4341OpenAlexW2093052851WikidataQ58174571 ScholiaQ58174571MaRDI QIDQ2344287

Alexander Ivanov, Sergei O. Ivanov, Yury Volkov, Guodong Zhou

Publication date: 13 May 2015

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.4341

zbMATH Keywords

Hochschild cohomologyquaternion groupBatalin-Vilkovisky structurecomparison morphismGerstenhaber Lie bracketweak self-homotopy

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items (10)

Gerstenhaber algebra of ℤ2 × ℤ2-Galois covering of quantum exterior algebra ⋮ BV differential on Hochschild cohomology of Frobenius algebras ⋮ The Batalin-Vilkovisky structure over the Hochschild cohomology ring of a group algebra ⋮ Batalin-Vilkovisky structure on Hochschild cohomology of zigzag algebra of type \(\widetilde{\mathbf{A}}_1\) ⋮ The Batalin-Vilkovisky structure over the Hochschild cohomology ring of exterior algebras ⋮ Batalin-Vilkovisky algebra structures on the Hochschild cohomology of self-injective Nakayama algebras ⋮ On the BV structure of the Hochschild cohomology of finite group algebras ⋮ The BV-algebra structure on the Hochschild cohomology of local algebras of quaternion type in characteristic 2 ⋮ Gerstenhaber Bracket on the Hochschild Cohomology via An Arbitrary Resolution ⋮ Batalin-Vilkovisky structure on Hochschild cohomology of tame Hecke algebras of type \(\mathbf{A}\)

Cites Work

• BV differential on Hochschild cohomology of Frobenius algebras
• Self-injective algebras of stable Calabi-Yau dimension three
• The Lie structure on the Hochschild cohomology of a modular group algebra.
• Setwise homotopy category
• Noncommutative geometry and quiver algebras
• Van den Bergh duality and Batalin-Vilkoviskiĭ structure on Calabi-Yau algebras.
• The Batalin-Vilkovisky algebra on Hochschild cohomology induced by infinity inner products.
• Calabi-Yau Frobenius algebras.
• The calculus structure of the Hochschild homology/cohomology of preprojective algebras of Dynkin quivers.
• Batalin-Vilkovisky algebras and two-dimensional topological field theories
• Batalin-Vilkovisky algebras and cyclic cohomology of Hopf algebras
• The cohomology structure of an associative ring
• On the Hochschild cohomology ring of tensor products of algebras.
• On the cohomology groups of an associative algebra
• Hochschild cohomology of algebras of quaternion type, I: Generalized quaternion groups
• Homology

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