Fixed points of IA-endomorphisms of a free metabelian Lie algebra
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, cilt.121, sa.4, ss.405-416, 2011 (SCI-Expanded, Scopus)
- 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.