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The Real Forms of the Fractional Supergroup SL(2,C)

Author

Listed:
  • Yasemen Ucan

    (Department of Mathematical Engineering, Faculty of Chemistry and Metallurgy, Davutpasa Campus, Yildiz Technical University, Esenler, 34220 Istanbul, Turkey)

  • Resat Kosker

    (Department of Mathematical Engineering, Faculty of Chemistry and Metallurgy, Davutpasa Campus, Yildiz Technical University, Esenler, 34220 Istanbul, Turkey)

Abstract

The real forms of complex groups (or algebras) are important in physics and mathematics. The Lie group S L 2 , C is one of these important groups. There are real forms of the classical Lie group S L 2 , C and the quantum group S L 2 , C in the literature. Inspired by this, in our study, we obtain the real forms of the fractional supergroups shown with A 3 N S L 2 , C , for the non-trivial N = 1 and N = 2 cases, that is, the real forms of the fractional supergroups A 3 1 S L 2 , C and A 3 2 S L 2 , C .

Suggested Citation

  • Yasemen Ucan & Resat Kosker, 2021. "The Real Forms of the Fractional Supergroup SL(2,C)," Mathematics, MDPI, vol. 9(9), pages 1-7, April.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:9:p:933-:d:541351
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    References listed on IDEAS

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    1. F. C. Park & C. M. Chun & C. W. Han & N. Webber, 2010. "Interest rate models on Lie groups," Quantitative Finance, Taylor & Francis Journals, vol. 11(4), pages 559-572.
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