Nijenhuis-operator on Hom-Lie conformal algebras

DOI10.1016/j.topol.2024.108817MaRDI QIDQ6191240

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Publication date: 9 February 2024

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

cohomologyrepresentationsformal deformationNijenhuis operatorHom-Lie conformal algebraHom-\textit{NS} Lie conformal algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of orders, lattices, algebras over commutative rings (16G30) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Basic linear algebra (15A99) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Cites Work

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• Hom-Gel'fand-Dorfman super-bialgebras and Hom-Lie conformal superalgebras
• Representations of hom-Lie algebras
• Invariance of vector form operations under mappings
• Deformations and generalized derivations of Hom-Lie conformal algebras
• Hom-algebra structures
• On the deformation of rings and algebras
• Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
• Nijenhuis operators on Hom-Lie algebras
• Hom Gel'fand-Dorfman bialgebras and Hom-Lie conformal algebras
• The Hom–Yang–Baxter equation and Hom–Lie algebras
• Cohomology and deformations in graded Lie algebras

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