Capability of crossed modules of Lie algebras

This thesis, based on capability of crossed modules of Lie algebras, consists of six chapters. In the first chapter, basic concepts which used in the structure of the thesis was given. In the second chapter, introduction to the notion of Lie algebras and some examples were given. In the third chapter, we recall the structure of crossed modules over Lie algebras. In the fourth chapter, we mentioned about homology of crossed modules of Lie algebras. In the fifth chapter, we have given the notion of actor crossed module and inner actor, and using these definitions, explained the notion of capability of crossed modules. In the last chapter, we have given the definitions and theorems about capability and covers of crossed modules.