Z$_3$-graded differential geometry of quantum plane
Quantum Algebra
2009-11-07 v1 Differential Geometry
Abstract
In this work, the Z-graded differential geometry of the quantum plane is constructed. The corresponding quantum Lie algebra and its Hopf algebra structure are obtained. The dual algebra, i.e. universal enveloping algebra of the quantum plane is explicitly constructed and an isomorphism between the quantum Lie algebra and the dual algebra is given.
Cite
@article{arxiv.math/0201018,
title = {Z$_3$-graded differential geometry of quantum plane},
author = {Salih Celik},
journal= {arXiv preprint arXiv:math/0201018},
year = {2009}
}
Comments
17 pages