摘要
本文引进了广义Ｋａｃ－Ｍｏｏｄｙ代数的广义抛物子代数的概念，得到了广义抛物子代数完备的充要条件。这类完备Ｌｉｅ代数是无限维的。
Early in 1962 N. Jacobson introduced the notion of complete Lie algebra. But it was at the beginning of the eighties that its systematic studies had been made so that the finite dimensional complete Lie algebra theory become perfect (see [3], [4], [5] for details). In this paper, the notion of the generalized parabolic subalgebras of generalized Kac-Moody algebras are given and a necessary and sufficient condition on the completity about the generalized parobolic subalgebras is obtained, which are infinite dimensional.
出处
《南开大学学报（自然科学版）》
CAS
CSCD
1995年第1期5-10,共6页
Acta Scientiarum Naturalium Universitatis Nankaiensis
关键词
广义
完备
K-M代数
李代数
无限维
Generalized Kac-Moody algebras, complete Lie algebras
