On simple Shamsuddin derivations in two variables

2014/12/29 by Rene Baltazar, R. Baltazar, Baltazar, R. · 2 citations
Computer Science · Mathematics · #Advanced Topics in Algebra #Coding theory and cryptography #Commutative Algebra (math.AC) #FOS: Mathematics #Finite Group Theory Research #math.AC

paper · pdf · doi:10.48550/arxiv.1412.8373

arxiv created 2014/12/29 · openalex publication_date 2014/12/29 · arxiv updated 2014/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the subgroup of k-automorphisms of k[x,y] which commute with a simple derivation D of k[x,y]. We prove, for example, that this subgroup is trivial when D is a Shamsuddin simple derivation. In the general case of simple derivations, we obtain properties for the elements of this subgroup.

Cited by

• On Isotropy Groups of Quantum Plane
• On plane polynomial automorphisms commuting with simple derivations

Related

• On simple derivations and the group of polynomial automorphisms commuting with certain derivations
• On plane polynomial automorphisms commuting with simple derivations
• On Shamsuddin derivations and the isotropy groups
• Simplicity and Commutative Bases of Derivations in Polynomial and Power Series Rings
• On the isotropy group of a simple derivation