Bicovariant differential calculus on the superspace ${\mathbb R}_q(1|2)$
Quantum Algebra
2019-08-28 v2
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.
Keywords
Cite
@article{arxiv.1509.05876,
title = {Bicovariant differential calculus on the superspace ${\mathbb R}_q(1|2)$},
author = {Salih Celik},
journal= {arXiv preprint arXiv:1509.05876},
year = {2019}
}
Comments
This paper has been withdrawn by the author due to minor revisions in a few equations