Deformation of Hom-Lie-Rinehart algebras
Satyendra Kumar Mishra, Ashis Mandal
TL;DR
This paper investigates the formal deformation theory of hom-Lie-Rinehart algebras, introducing a cohomology framework based on multiderivations to understand how these algebraic structures can be smoothly deformed.
Contribution
It constructs a deformation cohomology for hom-Lie-Rinehart algebras using multiderivations, providing a new tool for studying their deformations.
Findings
Deformation cohomology is explicitly constructed.
The cohomology controls the deformation process.
Provides a foundation for future deformation studies.
Abstract
We study formal deformations of hom-Lie-Rinehart algebras. The associated deformation cohomology that controls deformations is constructed using multiderivations of hom-Lie-Rinehart algebras.
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