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


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ÇELİK S.

ALGEBRAS AND REPRESENTATION THEORY, vol.19, no.3, pp.713-730, 2016 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 19 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.1007/s10468-016-9596-5
  • Title of Journal : ALGEBRAS AND REPRESENTATION THEORY
  • Page Numbers: pp.713-730
  • Keywords: Z(3)-graded quantum (2+1)-superspace, Z(3)-graded Hopf algebra, Z(3)-graded Lie superalgebra, Dual Hopf algebra, Z(3)-graded quantum supergroup

Abstract

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.