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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/121/04/0405-0416

    • Keywords

       

      Free metabelian Lie algebra; fixed point.

    • Abstract

       

      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 𝜑 of an $IA$-endomorphism 𝜑 of 𝐿 is not finitely generated.

    • Author Affiliations

       

      Naime Ekici1 Demet Parlak Sönmez2

      1. Department of Mathematics, Çukurova University, Adana, Turkey
      2. Department of Mathematics, Melikşah University, Kayseri, Turkey
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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