References
- Ammar, F., Ejbehi, Z., 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. 61:1898–1913. DOI: 10.1016/j.geomphys.2011.04.022.
- Arnlind, J., Makhlouf, A., Silvestrov, S. (2010). Ternary Hom-Nambu-Lie algebras induced by Hom-Lie algebras. J. Math. Phys. 51:043515, 10pp.
- Baxter, G. (1960). An analytic problem whose solution follows from a simple algebraic identity. Pac. J. Math. 10:731–742. DOI: 10.2140/pjm.1960.10.731.
- Cai, L., Sheng, Y. (2018). Purely Hom-Lie bialgebras. Sci. China Math. 61(9):1553–1566. DOI: 10.1007/s11425-016-9102-y.
- Chtioui, T., Hajjaji, A., Mabrouk, S., Makhlouf, A. (2023). Cohomologies and deformations of O-operators on Lie triple systems. J. Math. Phys. 64:081701.
- Das, A., Sen, S. (2022). Nijenhuis operators on Hom-Lie algebras. Commun. Algebra 50:1038–1054. DOI: 10.1080/00927872.2021.1977942.
- Hartwig, J., Larsson, D., Silvestrov, S. (2006). Deformations of Lie algebras using σ-derivations. J. Algebra 295:321–344. DOI: 10.1016/j.jalgebra.2005.07.036.
- Guo, L. (2012). An Introduction to Rota-Baxter Algebra, Surveys of Modern Mathematics, Vol 4. Somerville, MA: International Press; Beijing: Higher Education Press.
- Guo, L., Zhang, B., Zheng, S. (2018). Universal enveloping algebras and Poincaré-Birkhoff-Witt theorem for involutive Hom-Lie algebras. J. Lie Theory 28(3):735–756.
- Hu, N. (1999). q-Witt algebras, q-Lie algebras, q-holomorph structure and representations. Algebra Colloq. 6(1):51–70.
- Jacobson, N. (1949). Lie and Jordan triple systems. Amer. J. Math. 71:149–170. DOI: 10.2307/2372102.
- Jacobson, N. (1951). General representation theory of Jordan algebras. Trans. Amer. Math. Soc. 70:509–530. DOI: 10.1090/S0002-9947-1951-0041118-9.
- Li, Y., Wang, D. (2023). Hom-Lie algebras with derivations, appear to Front. Math China.
- Ma, Y., Chen, L., Lin, J. (2018). Central extensions and deformations of Hom-Lie triple systems. Commun. Algebra 46(3):1212–1230. DOI: 10.1080/00927872.2017.1339063.
- Makhlouf, A., Silvestrov, S. (2008). Hom-algebra structures. J. Gen. Lie Theory Appl. 2(2):51–64. DOI: 10.4303/jglta/S070206.
- Mabrouk, S. (2021). Pre-Lie triple systems structures and generalized derivations. Preprint.
- Mishra, K., Naolekar, A. (2020). O-operators on Hom-Lie algebras. J. Math. Phys. 61:121701.
- Sheng, Y. (2012). Representations of Hom-Lie algebras. Algebras Represent. Theory 15(6):1081–1098. DOI: 10.1007/s10468-011-9280-8.
- Sheng, Y., Bai, C. (2014). A new approach to Hom-Lie bialgebras. J. Algebra 399:232–250. DOI: 10.1016/j.jalgebra.2013.08.046.
- Sheng, Y., Chen, D. (2013). Hom-Lie 2-algebras. J. Algebra 376:174–195. DOI: 10.1016/j.jalgebra.2012.11.032.
- Yau, D. (2012). On n-ary Hom-Nambu and Hom-Nambu-Lie algebras. J. Geom. Phys. 62(2):506–522. DOI: 10.1016/j.geomphys.2011.11.006.
- Yamaguti, K. (1960). On the cohomology space of Lie triple system. Kumamoto J. Sci. Ser. A 5:44–52.
- Zhou, J., Chen, L., Ma, Y. (2018). Generalized derivations of Hom-Lie triple systems. Bull. Malays. Math. Sci. Soc. 41:637–656.