The super - symmetry bilinear forms of finite - dimensional simple z - graded lie superalgebras 阶化李超代数的超对称双线性型
Li chao chen yanjing 李超，陈衍景
In this paper , we study the left color symmetric structures on lie color algebras 摘要本文研究了着色李超代数上的左着色对称结构问题。
In this paper , the lie superalgebra k ( n ) on the elementary vector a ( n ) is constructed 通过对其结构的研究得知它是一类非单的李超代数。
Then gs = ad ( s + t ) dimgs = ( m + n - 1 ) ( 8 ) let gw be the derivation algebra of lie superalgebra on f and charf = 3 Cbarf = 3则的维数为( 8 )设g _是f上的李超代数w的导子代数
Then h is generated by b . ( 6 ) derfh = adh ( h + fh ) ( addi ) 3vi 1 ) , ( 7 ) let gs be the derivation algebra of lie superalgebra 5 on f and charf = 3 ( 5 )设，则h由集合b生成( 6 )其中h型模李超代数的导子代数的维数为( 7 )设g _ s是f上的李超代数s的导子代数
Lie superalgebras have seen a remarkable evolution both in mathematics and physics . and the research field of lie superalgebras is still active because of their important application in physics 李超代数在数学和物理学领域都有显著的发展。基于其在物理学上的重要应用，李超代数的研究领域仍需拓广。
Derivation algebras play an important role in the research of lie algebras and lie superalgebras . until 1988 , the derivation algebras of finite dimensional modular lie algebras of cartan - type had been researched 由于导子代数在李代数及李超代数的研究中起着非常重要的作用。到1988年，已研究了有限维cartan型模李代数的导子代数。
