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| COMPLETE LIE ALGEBRAS WITH l-STEP NILPOTENT RADICALS |
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Citation： |
GAO Yongcun,MENG Daoji.COMPLETE LIE ALGEBRAS WITH l-STEP NILPOTENT RADICALS[J].Chinese Annals of Mathematics B,2002,23(4):545~550 |
| Page view： 1152
Net amount： 841 |
Authors： |
GAO Yongcun; MENG Daoji |
Foundation： |
Project supported by the the National Natural Science Foundation of China (No. 19971044), and the Doctoral Program Foundation of the Ministry of Education of China (No. 97005511). |
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| Abstract： |
The authors first give a necessary and sufficient condition for some solvable Lie algebras with l-step nilpotent radicals to be complete, and then construct a new class of infinite dimensional complete Lie algebras by using the modules of simple Lie algebras. The quotient algebras of this new constructed Lie algebras are non-solvable complete Lie algebras with l-step nilpotent radicals. |
Keywords： |
Complete Lie algebra, l-step nilpotent Lie algebra, Nilpotent radical |
Classification： |
17B |
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