Published January 1, 2011
| Version v1
Journal article
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Fixed points of IA-endomorphisms of a free metabelian Lie algebra
Creators
- 1. Cukurova Univ, Dept Math, Adana, Turkey
- 2. Meliksah Univ, Dept Math, Kayseri, Turkey
Description
Let L be a free metabelian Lie algebra of finite rank at least 2. We show the existence of non-trivial fixed points of an IA-endomorphism of L and give an algorithm detecting them. In particular, we prove that the fixed point subalgebra Fix phi of an IA-endomorphism phi of L is not finitely generated.
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