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].