Covariant Differential Calculi on $S{P}_q^{1|2}$

Abstract

A unitary orthosymplectic quantum supergroup is introduced. Two covariant differential calculi on the quantum superspace $S{P}_q^{1|2}$ are presented. The $h$-deformed symplectic superspaces via a contraction of the $q$-deformed symplectic superspaces are obtained. A new $h$-deformation of the Heisenberg superalgebra is given.

18 pages

References in corpus (3)

• Noncommutative Geometry of Super-Jordanian $OS{p}_h(2/1)$ Covariant Quantum Space
• Bicovariant differential calculus on the superspace ${\mathbb{R}}_q(1|2)$
• Quantum Spheres for OSp_q(1/2)

Cited by in corpus (1)

• Hopf algebra structure on symplectic superspace ${\mathrm{SP}}_q^{2|1}$