Differential geometry of the quantum supergroup GLH,H′ (1|1)

ÇELİK S., Temli I.

Reports on Mathematical Physics, cilt.93, sa.3, ss.371-391, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 93 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1016/s0034-4877(24)00044-2
  • Dergi Adı: Reports on Mathematical Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.371-391
  • Anahtar Kelimeler: bi-covariant differential calculus, h-deformed Lie superalgebra, h-deformed superplanes, super inner derivations, super Lie derivatives
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we construct a bi-covariant (h,h′)-deformed differential calculus on the Hopf superalgebra of functions on the quantum supergroup GLh.h′ (1|1) and obtain an extended differential calculus (Cartan calculus) by including inner derivations and Lie derivatives. In doing so, we use left-Cartan-Maurer 1-forms and left-vector fields.