Bicovariant differential calculus on the superspace ${\mathbb{R}}_q(1|2)$

Abstract

Super Hopf algebra structure on the function algebra on the extended quantum superspace has been defined. It is given a bicovariant differential calculus on the superspace. The corresponding (quantum) Lie superalgebra of vector fields and its Hopf algebra structure are obtained. The dual Hopf algebra is explicitly constructed. A new quantum supergroup that is the symmetry group of the differential calculus is found.

This paper has been withdrawn by the author due to minor revisions in a few equations

References in corpus (1)

• Noncommutative Geometry of Super-Jordanian $OS{p}_h(2/1)$ Covariant Quantum Space

Cited by in corpus (3)

• Double-graded quantum superplane
• Covariant Differential Calculi on $S{P}_q^{1|2}$
• Quantum de Rham complex on ${\mathbb{A}}_h^{1|2}$