dorsal/arxiv
View SchemaClosed Expressions for Lie Algebra Invariants and Finite Transformations
| Authors | R. Aldrovandi, A. L. Barbosa, L. P. Freitas |
|---|---|
| Categories | |
| ArXiv ID | physics/9712033 |
| URL | https://arxiv.org/abs/physics/9712033 |
| DOI | 10.1007/BF02435725 |
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.
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"abstract": "A simple procedure to obtain complete, closed expressions for Lie algebra\ninvariants is presented. The invariants are ultimately polynomials in the group\nparameters. The construction of finite group elements require the use of\nprojectors, whose coefficients are invariant polynomials. The detailed general\nforms of these projectors are given. Closed expressions for finite Lorentz\ntransformations, both homogeneous and inhomogeneous, as well as for Galilei\ntransformations, are found as examples.",
"arxiv_id": "physics/9712033",
"authors": [
"R. Aldrovandi",
"A. L. Barbosa",
"L. P. Freitas"
],
"categories": [
"math-ph",
"hep-th",
"math.MP"
],
"doi": "10.1007/BF02435725",
"title": "Closed Expressions for Lie Algebra Invariants and Finite Transformations",
"url": "https://arxiv.org/abs/physics/9712033"
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