Reduction of Lie-Jordan algebras: Classical
Mathematical Physics
2013-09-18 v1 math.MP
Abstract
In this paper we present a unified algebraic framework to discuss the reduction of classical and quantum systems. The underlying algebraic structure is a Lie-Jordan algebra supplemented, in the quantum case, with a Banach structure. We discuss the reduction by symmetries, by constraints as well as the possible, non trivial, combinations of both. We finally introduce a new, general framework to perform the reduction of physical systems in an algebraic setup.
Keywords
Cite
@article{arxiv.1309.4123,
title = {Reduction of Lie-Jordan algebras: Classical},
author = {F. Falceto and L. Ferro and A. Ibort and G. Marmo},
journal= {arXiv preprint arXiv:1309.4123},
year = {2013}
}