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Polynomial Invariants of Special Groups Generated by Reflections

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Abstract

Generators are obtained for the ring of invariants of the group H created by reflections and which satisfy the following condition: the H-orbits of the directions of symmetry of this group are infinite and their linear shells form a triplet of planes with pairwise zero intersections. Conditions are identified such that the ring of invariants of the group H is not free.

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REFERENCES

  1. A. I. Krivoruchko, “Rational invariants of special groups generated by reflections, ” Dinam. Sist., 15, 170–177 (1999).

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Authors and Affiliations

  1. Taurian National University, Ukraine

    A. I. Krivoruchko

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  1. A. I. Krivoruchko
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Krivoruchko, A.I. Polynomial Invariants of Special Groups Generated by Reflections. Journal of Mathematical Sciences 107, 4432–4436 (2001). https://doi.org/10.1023/A:1012564719372

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  • DOI: https://doi.org/10.1023/A:1012564719372

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