ON THE DEFORMATION OF SOME LIE ALGEBRAS |
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作者姓名: | 杨亦松 |
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作者单位: | Wuhan Institute |
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摘 要: | Suppose (L[]) be a real or complex Lie algebra. We prove in this paper the following results, 1. Lie algebra L is semisimple, if and only if every deformation of L is semisimple; 2. when dim L=3, the nontrivial deformation of L exists if and only if dim [LL]≠3.
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