Note on Co-split Lie Algebras |
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Authors: | Limeng XIA |
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Institution: | 1. Faculty of Science, Jiangsu University, Zhenjiang, 212013, Jiangsu, China
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Abstract: | It is proved that, any finite dimensional complex Lie algebra L = L, L], hence, over a field of characteristic zero, any finite 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. |
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Keywords: | Co-split Casimir operator Killing form |
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