Operator Representations on Quantum Spaces

Details Operator Representations on Quantum Spaces Operator Representations on Quantum Spaces

2002-01-10

arxiv.org/abs/math-ph/0201023v4

Eur.Phys.J. C31 (2003) 261-275

Physics

Mathematical Physics

34 pages, Latex, major modifications to improve clarity, corrected typos

Scientific paper

10.1140/epjc/s2003-01324-0

In this article we present explicit formulae for q-differentiation on quantum spaces which could be of particular importance in physics, i.e., q-deformed Minkowski space and q-deformed Euclidean space in three or four dimensions. The calculations are based on the covariant differential calculus of these quantum spaces. Furthermore, our formulae can be regarded as a generalization of Jackson's q-derivative to three and four dimensions.

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