Coordinates and automorphisms of polynomial and free associative algebras of rank three |
| |
Authors: | Vesselin Drensky Jie-Tai Yu |
| |
Affiliation: | 1.Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 1113 Sofia, Bulgaria; 2.Department of Mathematics, University of Hong Kong, Hong Kong, China; |
| |
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. |
| |
Keywords: | automorphisms of free and polynomial algebras tame automorphisms wild automorphisms coordinates primitive elements in free algebras |
本文献已被 万方数据 SpringerLink 等数据库收录! |
| 点击此处可从《Frontiers of Mathematics in China》浏览原始摘要信息 |
|
点击此处可从《Frontiers of Mathematics in China》下载全文 |