Noncommutative Dynamical Models with Quantum Symmetries
- 29 Downloads
We define dynamical models on the q-Minkowski space algebra (which is a particular case of the Reflection Equation Algebra) as deformations (quantizations) of dynamical models with rotational symmetries, and we find their integrals. In particular, we introduce a q-analog of the Runge-Lenz vector and a q-analog of the dynamics in space-time with a spherically symmetric metric.
Keywordsq-Minkowski space algebra (Modified) reflection equation algebra Quantum group Cayley-Hamilton identity Verma modules Integrals of dynamics
Mathematics Subject Classification (2000)17B37 81R12
Unable to display preview. Download preview PDF.
- 6.Gurevich, D., Pyatov, P., Saponov, P.: Representation theory of (modified) reflection equation algebra of GL(m|n) type. St. Petersburg Math. J., to be published Google Scholar