Deformation of hom-Lie-Rinehart algebras

DOI10.1080/00927872.2019.1698588zbMath1480.17003arXiv1808.01909OpenAlexW3101225751MaRDI QIDQ5220667

Satyendra Kumar Mishra, Ashis Mandal

Publication date: 27 March 2020

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

Full work available at URL: https://arxiv.org/abs/1808.01909

zbMATH Keywords

differential graded Lie algebrasdeformation of algebrasdeformation complexhom-Lie-Rinehart algebras

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Nonassociative algebras satisfying other identities (17A30) Hom-Lie and related algebras (17B61)

Related Items (3)

On 3-Hom-Lie-Rinehart algebras ⋮ Unnamed Item ⋮ Universal central extensions and non-abelian tensor product of hom-Lie–Rinehart algebras

Cites Work

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• Hom-algebra structures
• Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras
• Duality for Lie-Rinehart algebras and the modular class
• Hom-Lie-Rinehart algebras
• Crossed modules for Hom-Lie–Rinehart algebras
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids
• Universal central extensions and non-abelian tensor product of hom-Lie–Rinehart algebras
• Representations of Homotopy Lie–Rinehart Algebras
• Differential Forms on General Commutative Algebras

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