On separating a fixed point from zero by invariants

Jonathan Elmer* (Corresponding Author), Martin Kohls

*Corresponding author for this work

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Assume a fixed point v∈VG can be separated from zero by a homogeneous invariant f∈k[V]G of degree prd, where p>0 is the characteristic of the ground field k and p,d are coprime. We show that then v can also be separated from zero by an invariant of degree pr, which we obtain explicitly from f. It follows that the minimal degree of a homogeneous invariant separating v from zero is a p-power.

Original languageEnglish
Pages (from-to)371-376
Number of pages6
JournalCommunications in Algebra
Volume45
Issue number1
Early online date11 Oct 2016
DOIs
Publication statusPublished - 2017

Keywords

  • geometrically reductive
  • invariant theory
  • linear algebraic groups
  • prime characteristic

ASJC Scopus subject areas

  • Algebra and Number Theory

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