A Differential Calculus on Z(3)-Graded Quantum Superspace


ÇELİK S.

ALGEBRAS AND REPRESENTATION THEORY, cilt.19, ss.713-730, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 19 Konu: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s10468-016-9596-5
  • Dergi Adı: ALGEBRAS AND REPRESENTATION THEORY
  • Sayfa Sayıları: ss.713-730

Özet

We introduce a Z(3)-graded quantum (2+1)-superspace and define Z(3)-graded Hopf algebra structure on algebra of functions on the Z(3)-graded quantum superspace. We construct a differential calculus on the Z(3)-graded quantum superspace, and obtain the corresponding Z(3)-graded Lie superalgebra. We also find a new Z(3)-graded quantum supergroup which is a symmetry group of this calculus.