A Differential Calculus on the $(h,j)$-Deformed Z$_3$-Graded Superplane (1402.5853v1)

Published 24 Feb 2014 in math.QA

Abstract: 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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