Locally semisimple and maximal subalgebras of the finitary Lie algebras $gl(\infty )$, $sl(\infty )$, $so(\infty )$, and $sp(\infty )$

Ivan Dimitrov, Ivan Penkov

We describe all locally semisimple subalgebras and all maximal subalgebras of the finitary Lie algebras $\gl(\infty), \sl(\infty), \so(\infty)$, and $\sp(\infty)$. For simple finit…