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

作者：Celik Salih^*

来源：Algebras and Representation Theory, 2016, 19(3): 713-730.

DOI：10.1007/s10468-016-9596-5

• 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

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.

• 出版日期2016-6