A Differential Calculus on the $(h,j)$ -Deformed Z $_3$ -Graded Superplane

preprint2014arXivOpen access

In this work, Z $_3$ -graded quantum $(h,j)$ -superplane is introduced with a help of proper singular $g$ matrix and a Z $_3$ -graded calculus is constructed over this new $h$ -superplane. A new Z $_3$ -graded $(h,j)$ -deformed quantum (super)group is constructed via the obtained calculus.

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A Differential Calculus on the $(h,j)$ -Deformed Z $_3$ -Graded Superplane

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A Differential Calculus on the (h,j)(h,j)(h,j)-Deformed Z3_33​-Graded Superplane

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A Differential Calculus on the $(h,j)$ -Deformed Z $_3$ -Graded Superplane