On nilpotent Lie algebras of derivations with large center

• Datum: 2016
• 1. Verfasser: Sysak, K.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Інститут прикладної математики і механіки НАН України 2016
• Schriftenreihe: Algebra and Discrete Mathematics
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/155212
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On nilpotent Lie algebras of derivations with large center / K. Sysak // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 1. — С. 153-162. — Бібліогр.: 8 назв. — англ.

Let K be a field of characteristic zero and A an associative commutative K-algebra that is an integral domain. Denote by R the quotient field of A and by W(A)=RDerA the Lie algebra of derivations on R that are products of elements of R and derivations on A. Nilpotent Lie subalgebras of the Lie algeb...