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


ÇELİK S.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.15, 2016 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 15 Konu: 9
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1142/s0219498816501723
  • Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS

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.