n=3 Nilpotent differential calculus on some non-commutative (super) spaces

Physics – Mathematical Physics

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Scientific paper

In this paper, we construct a covariant differential calculus on quantum
plane with two-parametric quantum group as a symmetry group. The two cases
$d^2=0$ and $d^3=0$ are completly established. We also construct differential
calculi $n=2$ and $n=3$ nilpotent on super quantum space with one and
two-parametric symmetry quantum supergroup.

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