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.

References in corpus (5)

• Z${}_3$-graded differential geometry of quantum plane
• Differential geometry of the q-superplane
• Differential geometry of the Z_3-graded quantum superplane
• Quantum de Rham complex with $d^3=0$ differential
• n=3 Differential calculus and gauge theory on a reduced quantum plane

Cited by in corpus (1)

• Construction of graded differential algebra with ternary differential