On universal central extensions of Hom-Lie algebras

J. M. CASAS; M. A. INSUA; N. PACHECO

Makale detayları

On universal central extensions of Hom-Lie algebras

Yazarlar:

J. M. CASAS | M. A. INSUA | N. PACHECO

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2015 Vol.44 Issue 2, pp.277-288

Belge Tipi:

Makale

Yayın Tarihi:

3/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000453085

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

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. .

Makale detayları

On universal central extensions of Hom-Lie algebras

Yazarlar: J. M. CASAS | M. A. INSUA | N. PACHECO

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2015 Vol.44 Issue 2, pp.277-288

Belge Tipi: Makale

Yayın Tarihi: 3/2015

Belge Dili: İngilizce

Document ID (Org No.): 2000453085

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

J. M. CASAS | M. A. INSUA | N. PACHECO

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2015 Vol.44 Issue 2, pp.277-288

Belge Tipi:

Makale

Yayın Tarihi:

3/2015

Belge Dili:

İngilizce

Document ID (Org No.):

2000453085

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X