A Quantum Space and Some Associated Quantum Groups

Muttalip ÖZAVŞAR

Makale detayları

A Quantum Space and Some Associated Quantum Groups

Yazarlar:

Muttalip ÖZAVŞAR

Yayıncı:

Süleyman Demirel University

Dergi:

Süleyman Demirel University Journal of Natural and Applied Sciences 2018 Vol.22 Issue 2, pp.464-469

Belge Tipi:

Makale

Yayın Tarihi:

8/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000553973

Sıklık:

Üç Yıllık

eISSN:

1308-6529

Özet:

 

In the present paper, we first introduce a quantum nnn-space on which the algebra of coordinates is ηη\eta-commutative. Further, it is shown that there are  some σσ\sigma-twisted derivations acting on this algebra, and the algebra of such derivations is a quantum group. Morever, we show that a bicovariant differential calculus on this space can be constructed by using σσ\sigma-twisted derivations. Finally, the quantum Lie algebra is obtained by using this bicovariant differential calculus.

Makale detayları

A Quantum Space and Some Associated Quantum Groups

Yazarlar: Muttalip ÖZAVŞAR

Yayıncı: Süleyman Demirel University

Dergi: Süleyman Demirel University Journal of Natural and Applied Sciences 2018 Vol.22 Issue 2, pp.464-469

Belge Tipi: Makale

Yayın Tarihi: 8/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000553973

Sıklık: Üç Yıllık

eISSN: 1308-6529

Sayı

Yazarlar:

Muttalip ÖZAVŞAR

Yayıncı:

Süleyman Demirel University

Dergi:

Süleyman Demirel University Journal of Natural and Applied Sciences 2018 Vol.22 Issue 2, pp.464-469

Belge Tipi:

Makale

Yayın Tarihi:

8/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000553973

Sıklık:

Üç Yıllık

eISSN:

1308-6529