Classical Invariant Theory and the Equivalence Problem for Particle Lagrangians

@inproceedings{Kkrn2003ClassicalIT,
  title={Classical Invariant Theory and the Equivalence Problem for Particle Lagrangians},
  author={IWO k. Kkrn},
  year={2003}
}
  • IWO k. Kkrn
  • Published 2003
The problem of equivalence of binary forms under linear changes of variables is shown to be a special case of the problem of equivalence of particle Lagrangians under the pseudogroup of transformations of both the independent and dependent vartables. The latter problem has a complete solution based on the equivalence method of Cartan. There are two particular rational covariants of any binary form which arc related by a “universal function.” The main result is that two binary forms are… CONTINUE READING

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