Algebras and Representation Theory

, Volume 19, Issue 3, pp 713–730 | Cite as

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.

Keywords

Z3-graded quantum (2+1)-superspace Z3-graded Hopf algebra Z3-graded Lie superalgebra Dual Hopf algebra Z3-graded quantum supergroup 

Mathematics Subject Classification (2010)

17B37 81R60 
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Copyright information

© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Department of MathematicsYildiz Technical UniversityDAVUTPASA-EsenlerTurkey

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