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Coordinates and automorphisms of polynomial and free associative algebras of rank three
Vesselin Drensky, Jie-Tai Yu
Front. Math. China. 2007, 2 (1): 13-46.
https://doi.org/10.1007/s11464-007-0002-9
We study z-automorphisms of the polynomial algebra K[x, y, z] and the free associative algebra K[x, y, z]over a field K, i.e., automorphisms that fix the variable z. We survey some recent results on such automorphisms and on the corresponding coordinates. For K[x, y, z] we include also results about the structure of the z-tame automorphisms and algorithms that recognize z-tame automorphisms and z-tame coordinates.
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