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) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 9
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3390/math9090933
  • Dergi Adı: MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: fractional supergroup, Hopf algebra, star-algebra, SUPERSYMMETRY, ALGEBRAS, ROOTS
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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 A(3)(N)(SL (2, C)), for the non-trivial N = 1 and N = 2 cases, that is, the real forms of the fractional supergroups A(3)(1)(SL(2, C)) and A(3)(2)(SL(2, C)).