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Journals / Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 22 Sayı: 2

A Quantum Space and Some Associated Quantum Groups

Muttalip Özavşar
Pages
464–469
Publication Date
2018-08-15
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, the quantum Lie algebra is obtained by using this bicovariant differential calculus.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In the present paper, we first introduce a quantum $n$-space on which the algebra of coordinates is $\eta$-commutative.
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Key Findings & Data: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.
💡
Conclusion & Impact:Finally, the quantum Lie algebra is obtained by using this bicovariant differential calculus.
🔬Design:Makale
📍Scope:Comprehensive Sample
⚙️Variables:Quantum spaces · Quantum groups · Derivation algebras

Özet

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.

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Cite This Article

Özavşar, M. (2018). A Quantum Space and Some Associated Quantum Groups. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 22 Sayı: 2, 464–469. https://ajindex.com/articles/1312164

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