Differential geometry of the quantum supergroup GLH,H′ (1|1)
Reports on Mathematical Physics, cilt.93, sa.3, ss.371-391, 2024 (SCI-Expanded, Scopus)
- 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.