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Generic, almost primitive and test elements of free Lie algebras |
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| Authors: | Alexander A. Mikhalev Ualbai Umirbaev Jie-Tai Yu |
| Affiliation: | Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong -- and -- Department of Mechanics and Mathematics, Moscow State University, Moscow, 119899, Russia ; Department of Mathematics, South Kazakhstan State University, Tauke khana 5, Shymkent, 486050, Kazakhstan Jie-Tai Yu ; Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong |
| Abstract: | We construct a series of generic elements of free Lie algebras. New almost primitive and test elements were found. We present an example of an almost primitive element which is not generic. |
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