Dynamical Systems and Quantum Bicrossproduct Algebras

Details Dynamical Systems and Quantum Bicrossproduct Algebras Dynamical Systems and Quantum Bicrossproduct Algebras

2002-03-04

arxiv.org/abs/math-ph/0203004v1

Physics

Mathematical Physics

LaTeX, 12 pages

Scientific paper

10.1088/0305-4470/35/25/313

We present a unified study of some aspects of quantum bicrossproduct algebras of inhomogeneous Lie algebras, like Poincare, Galilei and Euclidean in N dimensions. The action associated to the bicrossproduct structure allows to obtain a nonlinear action over a new group linked to the translations. This new nonlinear action associates a dynamical system to each generator which is the object of study in this paper.

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