Journals / Sigma Journal of Engineering and Natural Sciences / 2026 / Volume: 41 Issue: 2

Inhomogeneous quantum group of Q-fermions

Erdoğan Mehmet Özkan(Department of Mathematics, Yildiz Technical University,Istanbul, Davupasa Campus, Esenler, 34210, Türkiye)0000-0003-2341-6626
Muttalip Özavşar(Department of Mathematics, Yildiz Technical University,Istanbul, Davupasa Campus, Esenler, 34210, Türkiye)0000-0003-1471-6774
Pages
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Publication Date
2023-04-30
DOI
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AI Summary & Key Takeaways

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

In order to show that q-fermions provides a proper generalization of the algebra of usual commuting fermions, we prove that there is an inhomogeneous quantum structure associated with q-fermions for a complex number q with |q| = 1.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this work, we introduce a nonstandard algebra of q-fermions where q is a nonzero complex deformation parameter for the algebra of the commuting fermions.
📊
Key Findings & Data:In this work, we introduce a nonstandard algebra of q-fermions where q is a nonzero complex deformation parameter for the algebra of the commuting fermions.
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Conclusion & Impact:In order to show that q-fermions provides a proper generalization of the algebra of usual commuting fermions, we prove that there is an inhomogeneous quantum structure associated with q-fermions for a complex number q with |q| = 1.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Quantum Invariance Group · Fermions · Hopf Algebra

Abstract

In this work, we introduce a nonstandard algebra of q-fermions where q is a nonzero complex deformation parameter for the algebra of the commuting fermions. In order to show that q-fermions provides a proper generalization of the algebra of usual commuting fermions, we prove that there is an inhomogeneous quantum structure associated with q-fermions for a complex number q with |q| = 1.

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Cite This Article

Özkan, E. M., Özavşar, M. (2023). Inhomogeneous quantum group of Q-fermions. Sigma Journal of Engineering and Natural Sciences, Volume: 41 Issue: 2. https://ajindex.com/articles/1632369

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