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Coordinates and Automorphisms of Polynomial and Free Associative Algebras of Rank Three

Vesselin Drensky·Jie-Tai Yu
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Abstract

We study z-automorphisms of the polynomial algebra K[x,y,z] and the free associative algebra K over a field K, i.e., automorphisms which fix the variable z. We survey some recent results on such automorphisms and on the corresponding coordinates. For K we include also results about the structure of the z-tame automorphisms and algorithms which recognize z-tame automorphisms and z-tame coordinates.

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Vesselin Drensky, Jie-Tai Yu. 2006-06-13. Coordinates and Automorphisms of Polynomial and Free Associative Algebras of Rank Three. https://arxiv.org/abs/math/0606304

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