Levi components of parabolic subalgebras of finitary Lie algebras

Elizabeth Dan-Cohen, Ivan Penkov

We characterize locally semisimple subalgebras $ł$ of $\sl_\infty$, $\so_\infty$, and $\sp_\infty$ which are Levi components of parabolic subalgebras. Given $ł$, we characterize th…