Fixed points of IA-endomorphisms of a free metabelian Lie algebra


EKİCİ N. , Sonmez D. P.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.121, ss.405-416, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 121 Konu: 4
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1007/s12044-011-0039-2
  • Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
  • Sayfa Sayısı: ss.405-416

Özet

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.