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

Yasemen Ucan and Resat Kosker
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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

Mathematics, 2021, vol. 9, issue 9, 1-7

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 .

Keywords: fractional supergroup; Hopf algebra; star-algebra (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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