On Cohn's embedding of an enveloping algebra into a division ring

• Published in: Український математичний журнал
• Date: 1992
• Main Author: Wehrfritz, B.A.F.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 1992
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155304
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On Cohn's embedding of an enveloping algebra into a division ring / B.A.F. Wehrfritz // Український математичний журнал. — 1992. — Т. 44, № 6. — С. 729–735. — Бібліогр.: 5 назв. — англ.

In 1961 P. М. Cohn proved that the universal enveloping algebra of any Lie algebra over a field-can be embedded into a division ring. (The Lie algebra is not assumed to be finite dimensional.) Cohn's method is less than direct. We give a more explicit construction. These division rings have rec...