Closed Expressions for Lie Algebra Invariants and Finite Transformations
Mathematical Physics
2009-10-30 v1 High Energy Physics - Theory
math.MP
Abstract
A simple procedure to obtain complete, closed expressions for Lie algebra invariants is presented. The invariants are ultimately polynomials in the group parameters. The construction of finite group elements require the use of projectors, whose coefficients are invariant polynomials. The detailed general forms of these projectors are given. Closed expressions for finite Lorentz transformations, both homogeneous and inhomogeneous, as well as for Galilei transformations, are found as examples.
Cite
@article{arxiv.physics/9712033,
title = {Closed Expressions for Lie Algebra Invariants and Finite Transformations},
author = {R. Aldrovandi and A. L. Barbosa and L. P. Freitas},
journal= {arXiv preprint arXiv:physics/9712033},
year = {2009}
}
Comments
34 pages, ps file, no figures