A Differential Calculus on Z(3)-Graded Quantum Superspace
ALGEBRAS AND REPRESENTATION THEORY, vol.19, no.3, pp.713-730, 2016 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 19 Issue: 3
- Publication Date: 2016
- Doi Number: 10.1007/s10468-016-9596-5
- Journal Name: ALGEBRAS AND REPRESENTATION THEORY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- 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
- Open Archive Collection: AVESIS Open Access Collection
- Yıldız Technical University Affiliated: Yes
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.