Cohomology of Hom-associative algebras in Loday-Pirashvili category with applications

DOI10.1007/S41980-024-00905-9MaRDI QIDQ6645198

Tao Zhang

Publication date: 28 November 2024

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

cohomologyrepresentationdeformationsHom-associative algebrasLoday-Pirashvili categoryHom-dialgebras

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Deformations of associative rings (16S80) Associative rings and algebras with additional structure (16W99)

Cites Work

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• Cohomology and deformations of \(\mathcal{O}\)-operators on Hom-associative algebras
• Abelian extensions and crossed modules of Hom-Lie algebras
• Deformations of Lie algebras using \(\sigma\)-derivations
• Hom-algebra structures
• Enveloping algebras of Hom-Lie algebras
• Representations and cohomologies of Hom-Lie–Yamaguti algebras with applications
• Monoidal Hom–Hopf Algebras
• Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
• Hom-algebras and homology
• Cohomology of lie algebras in the tensor category of linear maps
• Crossed modules for Hom-Lie–Rinehart algebras
• Crossed modules for Hom–Lie antialgebras
• On Hom-Lie antialgebra

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