A differential calculus on Z$_3$-graded quantum superspace ${\mathbb R}_q(2|1)$
Quantum Algebra
2019-08-28 v1
Abstract
We introduce a Z-graded quantum -superspace and define Z-graded Hopf algebra structure on algebra of functions on the Z-graded quantum superspace. We construct a differential calculus on the Z-graded quantum superspace, and obtain the corresponding Z-graded Lie superalgebra. We also find a new Z-graded quantum supergroup which is a symmetry group of this calculus.
Keywords
Cite
@article{arxiv.1509.01492,
title = {A differential calculus on Z$_3$-graded quantum superspace ${\mathbb R}_q(2|1)$},
author = {Salih Celik},
journal= {arXiv preprint arXiv:1509.01492},
year = {2019}
}
Comments
24 pges, no figures