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arXiv · 1509.01492

A differential calculus on Z$_3$-graded quantum superspace ${\mathbb R}_q(2|1)$

Salih Celik
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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.

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Salih Celik. 2015-09-04. A differential calculus on Z$_3$-graded quantum superspace ${\mathbb R}_q(2|1)$. https://doi.org/10.1007/s10468-016-9596-5

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