Double-graded quantum superplane
Quantum Algebra
2020-12-30 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Physics
Abstract
A -graded generalisation of the quantum superplane is proposed and studied. We construct a bicovariant calculus on what we shall refer to as the \emph{double-graded quantum superplane}. The commutation rules between the coordinates, their differentials and partial derivatives are explicitly given. Furthermore, we show that an extended version of the double-graded quantum superplane admits a natural Hopf -algebra structure.
Keywords
Cite
@article{arxiv.1910.12950,
title = {Double-graded quantum superplane},
author = {Andrew James Bruce and Steven Duplij},
journal= {arXiv preprint arXiv:1910.12950},
year = {2020}
}
Comments
20 pages, amslatex, romp.sty, version 3: final journal version, to appear in "Reports on Mathematical Physics"