References
- Ammar, F., Ejbehi, A., Makhlouf, A. (2011). Cohomology and deformations of Hom-algebras. J. Lie Theory. 21(4):813–836.
- Ammar, F., Mabrouk, S., Makhlouf, A. (2011). Representations and cohomology of n-ary multiplicative Hom-Nambu-Lie algebras. J. Geom. Phys. 61(10):1898–1913. DOI: https://doi.org/10.1016/j.geomphys.2011.04.022.
- Ataguema, H., Makhlouf, A., Silvestrov, S. (2009). Generalization of n-ary Nambu algebras and beyond. J. Math. Phys. 50(8):083501. DOI: https://doi.org/10.1063/1.3167801.
- Bai, R. P., Li, X. J., Wu, Y. L. (2019). 3-Lie-Rinehart algebras. arXiv:1903.12283v1.
- Castiglioni, J. L., García-Martínez, X., Ladra, M. (2018). Universal central extensions of Lie-Rinehart algebras. J. Algebra Appl. 17(7):1850134. DOI: https://doi.org/10.1142/S0219498818501347.
- Hartwig, J., Larsson, D., Silvestrov, S. (2006). Deformations of Lie algebras using σ-derivations. J. Algebra 295(2):314–361. DOI: https://doi.org/10.1016/j.jalgebra.2005.07.036.
- Hu, N. H. (1999). q-Witt algebras, q-Lie algebras, q-holomorph structure and representations. Algebra Colloq. 6(1):51–70.
- Huebschmann, J. (1990). Poisson cohomology and quantization. J. Reine Angew. Math. 408:57–113.
- Huebschmann, J. (1998). Lie-Rinehart algebras, Gerstenhaber algebras and Batalin-Vilkovisky algebras. Ann. Inst. Fourier. 48(2):425–440. DOI: https://doi.org/10.5802/aif.1624.
- Huebschmann, J. (1999). Duality for Lie-Rinehart algebras and the modular class. J. Reine Angew. Math. 510:103–159. DOI: https://doi.org/10.1515/crll.1999.043.
- Huebschmann, J. (2004). Lie-Rinehart Algebras. Descent, and Quantization, Vol. 43. Providence, RI: American Mathematical Society, pp. 295–316.
- Liu, Y., Chen, L. Y., Ma, Y. (2015). Representations and module-extensions of 3-Hom-Lie algebras. J. Geom. Phys. 98:376–383. DOI: https://doi.org/10.1016/j.geomphys.2015.08.013.
- Ma, Y., Chen, L. Y., Lin, J. (2018). Central extensions and deformations of Hom-Lie triple systems. Commun. Algebra 46(3):1212–1230. DOI: https://doi.org/10.1080/00927872.2017.1339063.
- Mackenzie, K. (2005). General Theory of Lie Groupoids and Lie Algebroids. London Mathematical Society Lecture Note Series, Vol. 213. Cambridge: Cambridge University Press.
- Makhlouf, A., Silvestrov, S. (2008). Hom-algebra structures. J. Gen. Lie Theory Appl. 2(2):51–64. DOI: https://doi.org/10.4303/jglta/S070206.
- Makhlouf, A., Silvestrov, S. (2010). Notes on formal deformations of Hom-associative and Hom-Lie algebras. Forum Math. 22(4):715–759.
- Mandal, A., Mishra, S. K. (2020). Deformation of Hom-Lie-Rinehart algebras. Commun. Algebra 48(4):1653–1670. DOI: https://doi.org/10.1080/00927872.2019.1698588.
- Mandal, A., Mishra, S. K. (2018). On Hom-Gerstenhaber algebras and Hom-Lie algebroids. J. Geom. Phys. 133:287–302. DOI: https://doi.org/10.1016/j.geomphys.2018.07.018.
- Mandal, A., Mishra, S. K. (2018). Universal central extensions and non-abelian tensor product of Hom-Lie-Rinehart algebras. arXiv:1803.00936v2.
- Mandal, A., Mishra, S. K. (2018). Hom-Lie-Rinehart algebras. Commun. Algebra 46(9):3722–3744. DOI: https://doi.org/10.1080/00927872.2018.1424865.
- Sheng, Y. H. (2012). Representations of Hom-Lie algebras. Algebr. Represent. Theor. 15(6):1081–1098. DOI: https://doi.org/10.1007/s10468-011-9280-8.
- Wang, S. X., Zhang, X. H., Guo, S. J. (2020). On the structure of split regular Hom-Lie Rinehart algebras. Colloq. Math. 160(2):165–182. DOI: https://doi.org/10.4064/cm7903-9-2019.
- Yau, D. (2009). Hom-algebras and homology. J. Lie Theory. 19:409–421.
- Zhang, T., Han, F. Y., Bi, Y. H. (2018). Crossed modules for Hom-Lie-Rinehart algebras. Colloq. Math. 152(1):1–14. DOI: https://doi.org/10.4064/cm7170-3-2017.