【摘要】 在无限矩阵李代数中定义了多项式李子代数，研究了这类李代数的主要性质和它的结构，并在一定条件下证明了此类李代数是单李代数。更多还原

【Abstract】 The authors define polynomial Lie subalgebras in the infinite matrix Lie algebra, and discuss some main properties of this kind of subalgebras and its construction. Under the definite conditions, they prove that the class Lie subalgebras are simple Lie algebras.更多还原