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

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Atıf İçin Kopyala

EKİCİ N., Sonmez D. P.

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.121, sa.4, ss.405-416, 2011 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 121 Sayı: 4
• Basım Tarihi: 2011
• Doi Numarası: 10.1007/s12044-011-0039-2
• Dergi Adı: PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.405-416
• Çukurova Üniversitesi Adresli: Evet

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.