EN
On universal central extensions of Hom-Lie algebras
Abstract
We develop a theory of universal central extensions of Hom-Lie algebras. Classical results of universal central extensions of Lie algebras
cannot be completely extended to Hom-Lie algebras setting, because
of the composition of two central extensions is not central. This fact
leads to introduce the notion of universal α-central extension. Classical results as the existence of a universal central extension of a perfect
Hom-Lie algebra remains true, but others as the central extensions of
the middle term of a universal central extension is split only holds for
α-central extensions. A homological characterization of universal (α)-
central extensions is given.
Keywords
References
- ...
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
April 1, 2015
Submission Date
April 24, 2013
Acceptance Date
February 5, 2014
Published in Issue
Year 2015 Volume: 44 Number: 2
APA
Casas, J. M., Insua, M. A., & Pacheco, N. (2015). On universal central extensions of Hom-Lie algebras. Hacettepe Journal of Mathematics and Statistics, 44(2), 277-288. https://izlik.org/JA99NB74XN
AMA
1.Casas JM, Insua MA, Pacheco N. On universal central extensions of Hom-Lie algebras. Hacettepe Journal of Mathematics and Statistics. 2015;44(2):277-288. https://izlik.org/JA99NB74XN
Chicago
Casas, J. M., M. A. Insua, and N. Pacheco. 2015. “On Universal Central Extensions of Hom-Lie Algebras”. Hacettepe Journal of Mathematics and Statistics 44 (2): 277-88. https://izlik.org/JA99NB74XN.
EndNote
Casas JM, Insua MA, Pacheco N (April 1, 2015) On universal central extensions of Hom-Lie algebras. Hacettepe Journal of Mathematics and Statistics 44 2 277–288.
IEEE
[1]J. M. Casas, M. A. Insua, and N. Pacheco, “On universal central extensions of Hom-Lie algebras”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 2, pp. 277–288, Apr. 2015, [Online]. Available: https://izlik.org/JA99NB74XN
ISNAD
Casas, J. M. - Insua, M. A. - Pacheco, N. “On Universal Central Extensions of Hom-Lie Algebras”. Hacettepe Journal of Mathematics and Statistics 44/2 (April 1, 2015): 277-288. https://izlik.org/JA99NB74XN.
JAMA
1.Casas JM, Insua MA, Pacheco N. On universal central extensions of Hom-Lie algebras. Hacettepe Journal of Mathematics and Statistics. 2015;44:277–288.
MLA
Casas, J. M., et al. “On Universal Central Extensions of Hom-Lie Algebras”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 2, Apr. 2015, pp. 277-88, https://izlik.org/JA99NB74XN.
Vancouver
1.J. M. Casas, M. A. Insua, N. Pacheco. On universal central extensions of Hom-Lie algebras. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Apr. 1;44(2):277-88. Available from: https://izlik.org/JA99NB74XN