Coordinates and automorphisms of polynomial and free associative algebras of rank three

doi:10.1007/s11464-007-0002-9

Front. Math. China

2007, Vol. 2

Issue (1) : 13-46 https://doi.org/10.1007/s11464-007-0002-9

Coordinates and automorphisms of polynomial and free associative algebras of rank three

Vesselin Drensky¹, Jie-Tai Yu²

1.Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria; 2.Department of Mathematics, University of Hong Kong, Hong Kong, China;

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Abstract 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.

Issue Date: 05 March 2007

Cite this article:

Vesselin Drensky,Jie-Tai Yu. Coordinates and automorphisms of polynomial and free associative algebras of rank three[J]. Front. Math. China, 2007, 2(1): 13-46.

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https://academic.hep.com.cn/fmc/EN/10.1007/s11464-007-0002-9
https://academic.hep.com.cn/fmc/EN/Y2007/V2/I1/13

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