Irreducible finitary Lie algebras over fields of characteristic zero
Let \(V\) be a vector space over a field \(K\). A Lie subalgebra \(L\) of \(gl_K(V)\) is said to be finitary if it consists of elements of finite rank. The authors prove that if \(V\) is infinite dimensional over a field \(K\) of characteristic zero and if \(L\) acts irreducibly on \(V\), then the derived algebra of \(L\) is simple.
scientific article; zbMATH DE number 1251417
scientific article