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Dynamical Systems and Quantum Bicrossproduct Algebras

Oscar Arratia·Mariano A. del Olmo
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Abstract

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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Oscar Arratia, Mariano A. del Olmo. 2002-03-04. Dynamical Systems and Quantum Bicrossproduct Algebras. https://doi.org/10.1088/0305-4470%2F35%2F25%2F313

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