INITIAL FORMS OF STABLE INVARIANTS FOR ADDITIVE GROUP ACTIONS

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 highe...

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Bibliographic Details
Published in:Transformation groups 2014-09, Vol.19 (3), p.853-860
Main Author: KURODA, SHIGERU
Format: Article
Language:English
Subjects:
Algebra
Lie Groups
Mathematics
Mathematics and Statistics
Topological Groups
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Summary: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.
ISSN:1083-4362
1531-586X
DOI:10.1007/s00031-014-9271-z