Dynamical Systems and Quantum Bicrossproduct Algebras
数学物理
2009-11-07 v1 math.MP
量子代数
摘要
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.
引用
@article{arxiv.math-ph/0203004,
title = {Dynamical Systems and Quantum Bicrossproduct Algebras},
author = {Oscar Arratia and Mariano A. del Olmo},
journal= {arXiv preprint arXiv:math-ph/0203004},
year = {2009}
}
备注
LaTeX, 12 pages