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INITIAL FORMS OF STABLE INVARIANTS FOR ADDITIVE GROUP ACTIONS

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Abstract

The Derksen–Hadas–Makar-Limanov theorem (2001) says that the invariants for nontrivial actions of the additive group on a polynomial ring have no intruder. In this paper, we generalize this theorem to the case of stable invariants. We also prove a similar result for constants of locally finite higher derivations.

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Authors and Affiliations

  1. Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Tokyo, 192-0397, Japan

    SHIGERU KURODA

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  1. SHIGERU KURODA
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Correspondence to SHIGERU KURODA.

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*Partly supported by the Grant-in-Aid for Young Scientists (B) 24740022, Japan Society for the Promotion of Science.

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KURODA, S. INITIAL FORMS OF STABLE INVARIANTS FOR ADDITIVE GROUP ACTIONS. Transformation Groups 19, 853–860 (2014). https://doi.org/10.1007/s00031-014-9271-z

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  • DOI: https://doi.org/10.1007/s00031-014-9271-z

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