无扭算子李代数g(G,M)的子代数

The Subalgebras of Lie Algebra g(G,M) of Untwisted Operators

由算子构成的李代数在李代数理论中具有重要的应用,因而研究算子李代数及其子代数的代数结构就显得尤为重要.首先构造了无扭算子李代数g(G,M)的子代数L_1,L_2,g1,g2,然后给出了这些子代数的代数结构及一些重要应用.

Lie algebra of operators has important applications in the theory of Lie algebra, thus studying Lie algebras of operators and their subalgebras is particularly important. In this paper we structure the subalgebras of Lie Algebra g（G, M） of untwisted operators. We give the structure of these subalgebras and some important applications.