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Endomorphisms of Free Metabelian Lie Algebras Which Preserve Orbits |
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| Authors: | Chirkov I V Shevelin M A |
| Institution: | (1) Omsk State University, USA |
| Abstract: | For the free rank 2 metabelian Lie algebra over an infinite field we prove that an endomorphism of the algebra which preserves the automorphic orbit of a nonzero element is an automorphism. We construct some counterexamples over finite fields. |
| Keywords: | free metabelian Lie algebra primitive elements automorphism group endomorphism automorphic orbit of an element |
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