Braided products for quantum spaces

Abstract

Attention is focused on quantum spaces of physical importance, i.e. Manin plane, q-deformed Euclidean space in three or four dimensions as well as q-deformed Minkowski space. There are algebra isomorphisms that allow to identify quantum spaces with commutative coordinate algebras. This observation enables the realization of braiding mappings on commutative algebras. The aim of the article is to perform this task explicitly, leading us to formulae for so-called braided products.

Latex, 47 pages, no figures

References in corpus (5)

• On a Lorentz-Invariant Interpretation of Noncommutative Space-Time and Its Implications on Noncommutative QFT
• Differential Calculus on Iso_q (N), Quantum Poincare' Algebra and q - Gravity
• Introduction to Braided Geometry and $q$-Minkowski Space
• q-Integration on Quantum Spaces
• q-Translations on quantum spaces

Cited by in corpus (6)

• Analysis on q-deformed quantum spaces
• Non-relativistic Schroedinger theory on q-deformed quantum spaces I, Mathematical framework and equations of motion
• Non-relativistic Schroedinger theory on q-deformed quantum spaces II, The free non-relativistic particle and its interactions
• Non-relativistic Schroedinger theory on q-deformed quantum spaces III, Scattering theory
• Quantum kinematics on q-deformed quantum spaces I, Mathematical Framework
• Quantum kinematics on q-deformed quantum spaces II, Wave functions on position and momentum space