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| 广义Kac－Moody代数与无限维完备Lie代数 | |
| 引用本文： | 朱林生,孟道骥. 广义Kac－Moody代数与无限维完备Lie代数[J]. 南开大学学报(自然科学版), 1995, 0(1) |
| 作者姓名： | 朱林生 孟道骥 |
| 作者单位： | 常熟高专，南开大学数学系 |
| 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。 |
| 关 键 词： | 广义Kac－Moody代数；完备Lie代数 |
GENERALIZED KAC-MOODY ALGEBRAS AND INFINITE DIMENSIONAL COMPLETE LIE ALGEBRAS |
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| Zhu Lin sheng. GENERALIZED KAC-MOODY ALGEBRAS AND INFINITE DIMENSIONAL COMPLETE LIE ALGEBRAS[J]. Acta Scientiarum Naturalium University Nankaiensis, 1995, 0(1) | |
| Authors: | Zhu Lin sheng |
| Abstract: | 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. |
| Keywords: | Generalized Kac-Moody algebras complete Lie algebras |
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