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Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 2

$Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$

Ahmet BAKKALOĞLU
Ergün YAŞAR
Pages
101–114
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

To give a Z3 -graded Cartan calculus on the extended quantum 3d space, the noncommutative differential calculus on this space is extended by introducing inner derivations and Lie derivatives.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, the Z3 -graded differential calculus of the extended quan- tum 3d space is constructed.
📊
Key Findings & Data:By using this differential calculus, we obtain the algebra of Cartan-Maurer forms and the corresponding quan- tum Lie algebra.
💡
Conclusion & Impact:To give a Z3 -graded Cartan calculus on the extended quantum 3d space, the noncommutative differential calculus on this space is extended by introducing inner derivations and Lie derivatives.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this work, the Z3 -graded differential calculus of the extended quan- tum 3d space is constructed. By using this differential calculus, we obtain the algebra of Cartan-Maurer forms and the corresponding quan- tum Lie algebra. To give a Z3 -graded Cartan calculus on the extended quantum 3d space, the noncommutative differential calculus on this space is extended by introducing inner derivations and Lie derivatives.

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Cite This Article

BAKKALOĞLU, A., YAŞAR, E. (2022). $Z_{3} -graded$ dıfferentıal calculus on the quantum space $R^{3}_{q}$. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 2, 101–114. https://ajindex.com/articles/530428

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