(Co)Homology and universal central extension of Hom-Leibniz algebras

Loday, J. L., Pirashvili, T.: Universal enveloping algebras of Leibniz algebras and (co)homology. Math. Ann., 296, 139–158 (1993)

Hartwig, J., Larsson, D., Silvestrov, S.: Deformations of Lie algebras using σ-derivation. J. Algebra, 295, 314–361 (2006)

Makhlouf, A., Silvestrov, S.: Notes on formal deformations of Hom-associative and Hom-Lie algebras. Forum Math., 22(4), 715–739 (2010)

Gao, Y.: The second Leibniz homology group for Kac-Moody Lie algebras. Bull. Lond. Math. Soc., 32, 25–33 (2000)

Gao, Y.: Leibniz homology of unitary Lie algebras. J. Pure Appl. Algebra, 140, 33–56 (1999)

Wang, Q., Tan, S.: Leibniz central extension on a Block Lie algebra. Algebra Colloq., 14(4), 713–720 (2007)

Liu, D., Lin, L.: On the toroidal Leibniz algebras. Acta Mathematica Sinica, English Series, 24(2), 227–240 (2008)

Yau, D.: Hom-algebras as deformations and homology. J. Lie Theory, 19, 409–421 (2009)

Loday, J. L.: Dialgebras, Lecture Notes in Mathematics, Vol. 1763, Springer, 2001, 7–66

Casas, J., Datuashvili, T.: Noncommutative Leibniz-Poission algebras. Comm. Algebra, 34, 2507–2530 (2006)

Liu, D.: Steinberg-Leibniz algebras and superalgebras. J. Algebra, 283, 199–221 (2005)

Camacho, M., Gomez, R., Omirov, A.: Classification of some nilpotent class of Leibniz superalgebras. Acta Mathematica Sinica, English Series, 26(5), 227–240 (2010)

Casas, J.: Homology with trivial coefficients and universal central extensions of algebras with bracket. Comm. Algebra, 35, 2431–2449 (2007)

Larsson, D., Silvestrov, S.: Quasi-Hom-Lie algebras, central extensions and 2-cocycle-like identities. J. Algebra, 288, 321–344 (2005)

Pianzola, A., Prelat, D., Sun, J.: Descent constructions for central extensions of infinite dimensional Lie algebras. Manuscripta Math., 122, 137–148 (2007)

Weibel, C.: An Introduction to Homological Algebra, Cambridge University Press, Cambridge, 1994

Liu, D., Hu, N.: Leibniz superalgebras and central extensions. J. Algebra Appl., 5, 765–780 (2006)

Cheng, Y., Su, Y.: Quantum deformations of the Heisenberg-Virasoro algebra. Algebra Colloq., in press