- Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
- Vol: 22 Issue: 2
- A Quantum Space and Some Associated Quantum Groups
A Quantum Space and Some Associated Quantum Groups
Authors : Muttalip Özavşar
Pages : 464-469
View : 17 | Download : 10
Publication Date : 2018-08-15
Article Type : Other
Abstract :In the present paper, we first introduce a quantum $n$-space on which the algebra of coordinates is $\eta$-commutative. Further, it is shown that there are some $\sigma$-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 $\sigma$-twisted derivations. Finally, the quantum Lie algebra is obtained by using this bicovariant differential calculus.Keywords : Quantum spaces, Quantum groups, Derivation algebras