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

Abstract

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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Cited by in corpus (1)

• Construction of graded differential algebra with ternary differential