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Journals / Doğuş Üniversitesi Dergisi / 2018 / Cilt: 19 - Sayı: 1

Fractional Supersymmetric iso(1,1)

Kesirsel Süpersimetrik iso(1,1)

YASEMEN UÇAN
Reşat KÖŞKER
Özge HIDIRLAR
Pages
19–22
DOI
—
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AI Summary & Key Takeaways

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

This algebra is denoted by U ?iso(1,1)?23.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, fractional supersymmetric iso(1,1) based on the permutation groups S, is obtained in the Hopf algebra formulation.
📊
Key Findings & Data:In this study, fractional supersymmetric iso(1,1) based on the permutation groups S, is obtained in the Hopf algebra formulation.
💡
Conclusion & Impact:This algebra is denoted by U ?iso(1,1)?23.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, fractional supersymmetric iso(1,1) based on the permutation groups S, is obtained in the Hopf algebra formulation. This algebra is denoted by U ?iso(1,1)?23.

Özet

Bu çalışmada, S permütasyon grupları üzerine kurulmuş kesirsel süpersimetrik 3 permütasyon grupları üzerine kurulmuş kesirsel süpersimetrik iso(1,1) cebri, Hopf cebri formülasyonunda elde edilmiştir. Bu cebir Ui(1? 3?iso1) ile gösterilmiştir.

🔖

Cite This Article

UÇAN, Y., KÖŞKER, R., HIDIRLAR, Ö. (2018). Fractional Supersymmetric iso(1,1). Doğuş Üniversitesi Dergisi, Cilt: 19 - Sayı: 1, 19–22. https://ajindex.com/articles/129892

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References (7)

  1. Ahmedov H and Dayi Ö. F. (1999).,Two dimensional fractional supersymmetry from the quantum Poincare group at roots of unity, J.Phys.A, V.32, 6247-625.
  2. Ahmedov H and Dayi Ö. F. (2000).,Non-abeian fractional supersymmetry in two dimensions,Mod.Phys.Lett.A, V.15, No.29,1801-18111.
  3. Ahmedov, H. and Dayi, Ö. F. (1999). SLq(2, R) at roots of unity. J. Phys. A: Math. Gen. 32 1895-1907.
  4. Ahmedov, H., Yildiz, A. and Ucan, Y. (2001). Fractional Super Lie Algebras and Groups, J. Phys. A: Math. Gen. 34 6413-6423.
  5. Ahn C, Bernard D. and Leclair A. (1990). Fractional supersymmetries in perturbed coset CFT.s and intrgrable soliton theory, Nucl.Phys.B, 409. De Witt B. (1992) Supermanifolds(Cambridge Monographs on Mathematical Physics), 428. Cambridge University Press; 2th Edition,
  6. Cambridge. Goze M., Raush deTraunbenberg M. and Tanasa A. J. (2007), Poincaré and sl(2) algebras of order 3, Math. Phys., 48, 093507. Kerner R. (1992), Z3 -graded algebras and the cubic root of the supersymmetry translations, J. Math. Phys. 33,403. Kostant B. (1997). Graded manifolds, graded Lie theory and prequantization Lecture Notes in Mathematics,177. Springer, Berlin. Raush de Traunbenberg M. (2004)
  7. Four Dimensional Cubic Supersymmetry, Proceedings of institute of Mathematics of NAS of Ukraine, 50 part 2, 578-585. Rausch de Traubenberg M. and Slupinski M. J.(1997) Fractional supersymmetry and groups,Mod. Phys. Lett.A, 39, 3051. Rausch de Traubenberg M. and Slupinski M. J.(2000), Fractional supersymmetry and Fth-roots of representations,J. Math. Phys., 41, 4556. Vilenkin N. Ya. and Klimyk A. U. (1991). Representations of Lie Groups and Special Functions, Kluwer, Academic, Dordrecht. Wang X., Han D., Yu C. And Zheng Z. (2012). The geometric structure of unit dual quaternion with application in kinematic control. J. Math. Anal. Appl. 389 1352- 1364.