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| Note on Co-split Lie Algebras |
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Citation： |
Limeng XIA.Note on Co-split Lie Algebras[J].Chinese Annals of Mathematics B,2012,33(5):651~656 |
| Page view： 1910
Net amount： 1152 |
Authors： |
Limeng XIA; |
Foundation： |
the National Natural Science Foundation of China (No. 11001110). |
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| Abstract： |
It is proved that, any nite dimensional complex Lie algebra L = [L;L], hence,over a eld of characteristic zero, any nite dimensional Lie algebra L = [L;L] possessing a basis with complex structure constants, should be a weak co-split Lie algebra. A class of non-semi-simple co-split Lie algebras is given. |
Keywords： |
Casimir operator, Killing form |
Classification： |
17B20, 17B60 |
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