Automorphisms of elliptic Poisson algebras
Leonid Makar-Limanov, Umut Turusbekova, Ualbai Umirbaev

TL;DR
This paper characterizes the automorphism groups of elliptic Poisson algebras on three-variable polynomial algebras, providing explicit generators and relations for these groups.
Contribution
It offers a complete description and explicit presentation of automorphism groups for elliptic Poisson algebras, a novel result in the field.
Findings
Explicit generators for automorphism groups identified
Defining relations for automorphism groups established
Automorphism groups fully characterized for elliptic Poisson algebras
Abstract
We describe the automorphism groups of elliptic Poisson algebras on polynomial algebras in three variables and give an explicit set of generators and defining relations for this group.
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Taxonomy
TopicsAdvanced Topics in Algebra · Advanced Algebra and Geometry · Algebraic structures and combinatorial models
