q-Translations on quantum spaces
Abstract
Description
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.
55 pages, Latex, more detailed introduction and conclusion, additional section about basic concepts, some modifications to improve clarity, typos corrected
55 pages, Latex, more detailed introduction and conclusion, additional section about basic concepts, some modifications to improve clarity, typos corrected