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q-Translations on quantum spaces

Hartmut Wachter
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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.

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Hartmut Wachter. 2006-05-31. q-Translations on quantum spaces. https://arxiv.org/abs/hep-th/0410205

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