Closed Expressions for Lie Algebra Invariants and Finite Transformations

Details Closed Expressions for Lie Algebra Invariants and Finite Transformations Closed Expressions for Lie Algebra Invariants and Finite Transformations

1997-12-17

arxiv.org/abs/physics/9712033v1

Physics

Mathematical Physics

34 pages, ps file, no figures

Scientific paper

10.1007/BF02435725

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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