q-Translations on quantum spaces
High Energy Physics - Theory
2007-05-23 v2
Abstract
Attention is focused on quantum spaces of particular importance in physics, i.e. two-dimensional quantum plane, q-deformed Euclidean space in three or four dimensions, and q-deformed Minkowski space. Each of these quantum spaces can be combined with its symmetry algebra to form a Hopf algebra. The Hopf structures on quantum space coordinates imply their translation. This article is devoted to the question how to calculate translations on the quantum spaces under consideration.
Cite
@article{arxiv.hep-th/0410205,
title = {q-Translations on quantum spaces},
author = {Hartmut Wachter},
journal= {arXiv preprint arXiv:hep-th/0410205},
year = {2007}
}
Comments
55 pages, Latex, more detailed introduction and conclusion, additional section about basic concepts, some modifications to improve clarity, typos corrected