On Casimir Operators of Conformal Galilei Algebras
Mathematical Physics
2019-02-18 v1 math.MP
Abstract
In previous work, we introduced an algorithm that utilises differential operator realisations to find polynomial Casimir operators of Lie algebras. In this article we build on this work by applying the algorithm to several classes of finite dimensional conformal Galilei algebras with central extension. In these cases we highlight the utility of an algebra anti-automorphism, and give relevant details through key examples.
Keywords
Cite
@article{arxiv.1809.06666,
title = {On Casimir Operators of Conformal Galilei Algebras},
author = {Fahad Alshammari and Phillip S. Isaac and Ian Marquette},
journal= {arXiv preprint arXiv:1809.06666},
year = {2019}
}
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18 pages