Isomorphism theorems on 2- crossed modules of lie algebras

This thesis on isomorphism theorems in 2-crossed modules of Lie algebras consists of five chapters. In the first part of the thesis, necessary information and literature history are given. In the second chapter, some basic concepts used in Lie algebras are given and theorems necessary for the thesis are expressed. In the third chapter, the concept of a crossed module of Lie algebras is defined, and crossed module homomorphism of Lie algebras and their kernel and images are given. Lie subcrossed modules of crossed modules of Lie algebras, Lie crossed ideals and quotient crossed modules of Lie algebras are studied. Also, isomorphism theorems for crossed modules of Lie algebras are stated and proved. In the fourth chapter, the definition of a 2-crossed module of Lie algebras is given, and the concepts and theorems given in the third chapter are generalized for 2-crossed modules of Lie algebras, and they are proved by means of the properties of the structure. In the last part, the results obtained are interpreted, the literature gains are mentioned, and also ideas about some future studies are expressed.