On automorphisms of tame polynomial automorphism Ind-Schemes in positive characteristic

Alexey Kanel-Belov, Andrey Elishev, Jie Tai Yu

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1 Scopus citations

Abstract

In this paper we study certain combinatorial attributes of (Formula presented.) -schemes of polynomial automorphisms in positive characteristic. In particular, we prove that over an algebraically closed field K of positive characteristic (Formula presented.) every automorphism of the group of origin-preserving automorphisms of the polynomial algebra (Formula presented.) ((Formula presented.)), which fixes every diagonal matrix, preserves, up to composition with a linear inner automorphism, every tame automorphism.

Original languageEnglish
Pages (from-to)5375-5395
Number of pages21
JournalCommunications in Algebra
Volume52
Issue number12
DOIs
StatePublished - 2024

Bibliographical note

Publisher Copyright:
© 2024 Taylor & Francis Group, LLC.

Keywords

  • Polynomial automorphisms
  • tame automorphisms

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