Central automorphisms of free nilpotent Lie algebras

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Oztekin O., EKİCİ N.

JOURNAL OF ALGEBRA AND ITS APPLICATIONS, cilt.16, sa.11, 2017 (SCI-Expanded, Scopus)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 16 Sayı: 11
• Basım Tarihi: 2017
• Doi Numarası: 10.1142/s021949881750205x
• Dergi Adı: JOURNAL OF ALGEBRA AND ITS APPLICATIONS
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Çukurova Üniversitesi Adresli: Evet

Özet

Let L-m,L- n be the free nilpotent Lie algebra of finite rank m, m >= 2 and nilpotency class n - 1 over a field of characteristic zero. We give a characterization of central automorphisms of L-m,L- n and we find sufficient conditions for an automorphism of L-m,L- n to be a central automorphism.