References
- Ammar, F., Ejbehi, Z., Makhlouf, A. (2011). Representations and cohomology of n-ary multiplicative Hom-Nambu-Lie algebras. J. Geom. Phys. 61(10):1898–1913.
- Ammar, F., Mabrouk, S., Makhlouf, A. (2011). Cohomology and deformations of Hom-algebras. J. Lie Theory 21(4):813–836.
- Benayadi, S., Makhlouf, A. (2014). Hom-Lie algebras with invariant nondegenerate bilinear forms. J. Geom. Phys. 76:38–60.
- Elhamdadi, M., Makhlouf, A. (2011). Deformations of Hom-alternative and Hom-Malcev algebras. Algebras Groups Geom. 28(2):117–145.
- Gerstenhaber, M. (1964). On the deformation of rings and algebras. Ann. Math. 79(2):59–103.
- Gerstenhaber, M. (1966). On the deformation of rings and algebras. II. Ann. Math. 84:1–19.
- Gerstenhaber, M. (1968). On the deformation of rings and algebras. III. Ann. Math. 88(2):1–34.
- Gerstenhaber, M. (1974). On the deformation of rings and algebras. IV. Ann. Math. 99(2):257–276.
- Hartwig, J., Larsson, D., Silvestrov, S. (2006). Deformations of Lie algebras using σ-derivations. J. Algebra 295(2): 314–361.
- Hochschild, G. (1945). On the cohomology groups of an associative algebra. Ann. Math. 46(1):58–67.
- Hu, N. (1999). Q-Witt algebras, q-Lie algebras, q-holomorph structure and representations. Algebra Colloq. 6:51–70.
- Jin, Q., Li, X. (2008). Hom-Lie algebra structures on semi-simple Lie algebras. J. Algebra 319(4):1398–1408.
- Kubo, F., Taniguchi, Y. (2004). A controlling cohomology of the deformation theory of Lie triple systems. J. Algebra 278 :242–250.
- Larsson, D., Silvestrov, S. (2005). Quasi-hom-Lie algebras, central extensions and 2-cocycle-like identities. J. Algebra 288:321–344.
- Lister, W. (1952). A structure theory of Lie triple systems. Trans. Amer. Math. Soc. 72:217–242.
- Liu, Y., Chen, L., Ma, Y. (2013). Hom-Nijienhuis operators and T*-extensions of hom-Lie superalgebras. Linear Algebra Appl. 439:2131–2144.
- Makhlouf, A., Silvestrov, S. (2010). Notes on 1-parameter formal deformations of Hom-associative and Hom-Lie algebras. Forum Math. 22:715–739.
- Sheng, Y. (2012). Representations of hom-Lie algebras. Algebr. Represent. Theory 15:1081–1098.
- Sheng, Y., Bai, C. (2014). A new approach to hom-Lie bialgebras. J. Algebra 399:232–250.
- Yamaguti, K. (1960). On the cohomology space of Lie triple system. Kumamoto J. Sci. Ser. A 5:44–52.
- Yau, D. (2009). Hom-algebras and homology. J. Lie Theory 19:409–421.
- Yau, D. (2012). On n-ary Hom-Nambu and Hom-Nambu-Lie algebras. J. Geom. Phys. 62:506–522.
- Yuan, J., Sun, L., Liu, W. (2014). Hom-Lie superalgebra structures on infinite-dimensional simple Lie superalgebras of vector fields. J. Geom. Phys. 84:1–7.