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A Differential Calculus on Z3-Graded Quantum Superspace \({\mathbb R}_{q}(2|1)\)

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Abstract

We introduce a Z3-graded quantum (2+1)-superspace and define Z3-graded Hopf algebra structure on algebra of functions on the Z3-graded quantum superspace. We construct a differential calculus on the Z3-graded quantum superspace, and obtain the corresponding Z3-graded Lie superalgebra. We also find a new Z3-graded quantum supergroup which is a symmetry group of this calculus.

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Authors and Affiliations

  1. Department of Mathematics, Yildiz Technical University, DAVUTPASA-Esenler, Istanbul, 34210, Turkey

    Salih Celik

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  1. Salih Celik
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Correspondence to Salih Celik.

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Presented by Stanislaw Lech Woronowicz.

In this article, reference [4] was incorrect and should have been Celik,S.: Differential geometry of Z3-graded quantaum superplane. J. Phys. A: Math. Gen. 35 4257-4268 (2002).

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Celik, S. A Differential Calculus on Z3-Graded Quantum Superspace \({\mathbb R}_{q}(2|1)\) . Algebr Represent Theor 19, 713–730 (2016). https://doi.org/10.1007/s10468-016-9596-5

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  • DOI: https://doi.org/10.1007/s10468-016-9596-5

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