The Konov nesting of enveloping algebra into the ring with divisions

• Date: 1992
• Main Author: Wehrfritz , В. A. F.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8003
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In 1961 Р. 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 recently...