Closed Expressions for Lie Algebra Invariants and Finite Transformations
Aldrovandi, R. ; Barbosa, A. L. ; Freitas, L. P.
arXiv, 9712033 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1997-12-17
Classification:  Mathematical Physics,  High Energy Physics - Theory 
@article{9712033,
     author = {Aldrovandi, R. and Barbosa, A. L. and Freitas, L. P.},
     title = {Closed Expressions for Lie Algebra Invariants and Finite Transformations},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9712033}
}

Aldrovandi, R.; Barbosa, A. L.; Freitas, L. P. Closed Expressions for Lie Algebra Invariants and Finite Transformations. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9712033/