The real forms of the fractional supergroup sl(2,c)


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Uçan Y. , Köşker R.

Mathematics, cilt.9, sa.9, 2021 (SCI Expanded İndekslerine Giren Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Konu: 9
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3390/math9090933
  • Dergi Adı: Mathematics

Özet

© 2021 by the authors. Licensee MDPI, Basel, Switzerland.The real forms of complex groups (or algebras) are important in physics and mathematics. The Lie group SL(2,C) is one of these important groups. There are real forms of the classical Lie group SL(2,C) and the quantum group SL(2,C) in the literature. Inspired by this, in our study, we obtain the real forms of the fractional supergroups shown with A3 N (SL(2,C)), for the non-trivial N = 1 and N = 2 cases, that is, the real forms of the fractional supergroups A3 1 (SL(2,C)) and A3 2 (SL(2,C)).