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| ON NEW SIMPLE LIE ALGEBRAS OF SHEN GUANGYU |
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Citation： |
Fei Qingyun.ON NEW SIMPLE LIE ALGEBRAS OF SHEN GUANGYU[J].Chinese Annals of Mathematics B,1989,10(4):448~457 |
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Net amount： 842 |
Authors： |
Fei Qingyun; |
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| Abstract： |
In [1] Shen Guangyu constructed two classes of simple Lie algebras $\[{\sum {} ^*}\]$ and $\[\sum {} \]$ and
proved that $\[{\sum {} ^*}\]$ is new, This paper gives the invariant filtrations and the associated graded algebras of $\[{\sum {} ^*}\]$. It follows that $\[\sum {} \]$ is new too. Moreover, the author gives some new invariants of $\[{\sum {} ^*}\]$, $\[\sum {} \]$ and refines some results of Shen Guangyu [1,4]. |
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