On universal central extensions of Hom-Lie algebras

J. M. Casas; M. A. Insua; N. Pacheco

Araştırma Makalesi

On universal central extensions of Hom-Lie algebras

Yıl 2015, Cilt: 44 Sayı: 2, 277 - 288, 01.04.2015

J. M. Casas M. A. Insua N. Pacheco

Öz

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.

Anahtar Kelimeler

Hom-Lie algebra, homology, Hom-module, (universal) central extension, (universal) α-central extension

Kaynakça

...

Yıl 2015, Cilt: 44 Sayı: 2, 277 - 288, 01.04.2015

J. M. Casas M. A. Insua N. Pacheco

Öz

Kaynakça

...

Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Matematik
Bölüm	Matematik
Yazarlar	J. M. Casas M. A. Insua N. Pacheco
Yayımlanma Tarihi	1 Nisan 2015
Yayımlandığı Sayı	Yıl 2015 Cilt: 44 Sayı: 2

Kaynak Göster

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.
AMA	Casas JM, Insua MA, Pacheco N. On universal central extensions of Hom-Lie algebras. Hacettepe Journal of Mathematics and Statistics. Nisan 2015;44(2):277-288.
Chicago	Casas, J. M., M. A. Insua, ve N. Pacheco. “On Universal Central Extensions of Hom-Lie Algebras”. Hacettepe Journal of Mathematics and Statistics 44, sy. 2 (Nisan 2015): 277-88.
EndNote	Casas JM, Insua MA, Pacheco N (01 Nisan 2015) On universal central extensions of Hom-Lie algebras. Hacettepe Journal of Mathematics and Statistics 44 2 277–288.
IEEE	J. M. Casas, M. A. Insua, ve N. Pacheco, “On universal central extensions of Hom-Lie algebras”, Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 2, ss. 277–288, 2015.
ISNAD	Casas, J. M. vd. “On Universal Central Extensions of Hom-Lie Algebras”. Hacettepe Journal of Mathematics and Statistics 44/2 (Nisan 2015), 277-288.
JAMA	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. vd. “On Universal Central Extensions of Hom-Lie Algebras”. Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 2, 2015, ss. 277-88.
Vancouver	Casas JM, Insua MA, Pacheco N. On universal central extensions of Hom-Lie algebras. Hacettepe Journal of Mathematics and Statistics. 2015;44(2):277-88.