ON NEW SIMPLE LIE ALGEBRAS OF SHEN GUANGYU

In Shen Guangyu constructed two classes of simple Lie algebras ∑, , and proved that ∑ is new. This paper gives the invariant filtrations and the associated graded algebras of ∑, . Itfollows that is new too. Moreover, the author gives some new invariants of ∑, and refines some results of Shen Guangyu 1, 4].

ON NEW SIMPLE LIE ALGEBRAS OF SHEN GUANGYU

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].