特征零域上的广义Cartan型W类李超代数

Study on Generadized Cartan type W Lie Superalgebra

本文构造了特征零的域F上的广义Cartan型W类李超代数及其子代数Wd,并给出了Wd是单李超代数的充分必要条件。

In this papar,we define the generalized Cartan type W Lie superalgebra over field F of characteristic 0 and a subalgebra Wd of W.The paper also prove the necessary and sufficient conditions of which Wd is simple.