A Short Note on Polynomial Automorphisms

2016/10/25 by Stefan Günther, Günther, Stefan
Mathematics · Medicine · #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.1610.07827

Abstract

In this paper, we construct explicitely polynomial automorphisms of affine n-space for certain n. More precisely, we construct algebraic subgroups of the general polynomial group GA_n(k) where k is an arbitrary base ring of characteristic zero.

Related

• A new co-tame automorphism of the polynomial ring
• On the polynomial automorphisms of a group
• Polynomial automorphisms of characteristic order and their invariant rings
• Automorphism groups of affine varieties and their Lie algebras
• The group of automorphisms of the algebra of one-sided inverses of a polynomial algebra, II