Differential geometry of the q-superplane

Abstract

Hopf algebra structures on the extended q-superplane and its differential algebra are defined. An algebra of forms which are obtained from the generators of the extended q-superplane is introduced and its Hopf algebra structure is given

7 pages

Cited by in corpus (7)

• Differential geometry of the Z_3-graded quantum superplane
• n=3 Nilpotent differential calculus on some non-commutative (super) spaces
• Bicovariant differential calculus on the superspace ${\mathbb{R}}_q(1|2)$
• A differential calculus on Z${}_3$-graded quantum superspace ${\mathbb{R}}_q(2|1)$
• Left covariant differential calculi on ${\widetilde{\mathrm{GL}}}_q(2)$
• Cartan calculi on the quantum superplane
• Quantum de Rham complex on ${\mathbb{A}}_h^{1|2}$