Bicovariant differential calculus on the quantum superspace R-q(1 vertical bar 2)

---

Atıf İçin Kopyala

Çelik S.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.15, sa.9, 2016 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 15 Sayı: 9
• Basım Tarihi: 2016
• Doi Numarası: 10.1142/s0219498816501723
• Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Super-Hopf algebra structure on the function algebra on the extended quantum super-space has been defined. It is given a bicovariant differential calculus on the superspace. The corresponding (quantum) Lie superalgebra of vector fields and its Hopf algebra structure are obtained. The dual Hopf algebra is explicitly constructed. A new quantum supergroup that is the symmetry group of the differential calculus is found.