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A Quantum Space and Some Associated Quantum Groups

Year 2018, Volume: 22 Issue: 2, 464 - 469, 15.08.2018

Muttalip Özavşar

https://izlik.org/JA23HX89WC

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

References

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There are 16 citations in total.

Details

Authors

Muttalip Özavşar This is me

Publication Date August 15, 2018
IZ https://izlik.org/JA23HX89WC
Published in Issue Year 2018 Volume: 22 Issue: 2

Cite

APA Özavşar, M. (2018). A Quantum Space and Some Associated Quantum Groups. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(2), 464-469. https://izlik.org/JA23HX89WC
AMA 1.Özavşar M. A Quantum Space and Some Associated Quantum Groups. J. Nat. Appl. Sci. 2018;22(2):464-469. https://izlik.org/JA23HX89WC
Chicago Özavşar, Muttalip. 2018. “A Quantum Space and Some Associated Quantum Groups”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 (2): 464-69. https://izlik.org/JA23HX89WC.
EndNote Özavşar M (August 1, 2018) A Quantum Space and Some Associated Quantum Groups. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 2 464–469.
IEEE [1]M. Özavşar, “A Quantum Space and Some Associated Quantum Groups”, J. Nat. Appl. Sci., vol. 22, no. 2, pp. 464–469, Aug. 2018, [Online]. Available: https://izlik.org/JA23HX89WC
ISNAD Özavşar, Muttalip. “A Quantum Space and Some Associated Quantum Groups”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/2 (August 1, 2018): 464-469. https://izlik.org/JA23HX89WC.
JAMA 1.Özavşar M. A Quantum Space and Some Associated Quantum Groups. J. Nat. Appl. Sci. 2018;22:464–469.
MLA Özavşar, Muttalip. “A Quantum Space and Some Associated Quantum Groups”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 22, no. 2, Aug. 2018, pp. 464-9, https://izlik.org/JA23HX89WC.
Vancouver 1.Muttalip Özavşar. A Quantum Space and Some Associated Quantum Groups. J. Nat. Appl. Sci. [Internet]. 2018 Aug. 1;22(2):464-9. Available from: https://izlik.org/JA23HX89WC

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