Symmetries of Polynomials

@article{Berchenko2000SymmetriesOP,
  title={Symmetries of Polynomials},
  author={Irina Berchenko and Peter J. Olver},
  journal={J. Symb. Comput.},
  year={2000},
  volume={29},
  pages={485-514}
}
New algorithms for determining discrete and continuous symmetries of polynomials — also known as binary forms in classical invariant theory — are presented, and implemented in Maple. The results are based on a new, comprehensive theory of moving frames that completely characterizes the equivalence and symmetry properties of submanifolds under general Lie group actions. ∗This work was partially supported by NSF Grant DMS 98–03154. 
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