on dimensions of derived algebra and central factor of a lie algebra
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abstract
some lie algebra analogues of schur's theorem and its converses are presented. as a result, it is shown that for a capable lie algebra l we always have dim l=z(l) 2(dim(l2))2. we also give give some examples sup- porting our results.
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Journal title:
bulletin of the iranian mathematical societyجلد ۴۱، شماره ۵، صفحات ۱۰۹۳-۱۱۰۲
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