A Q-lie Algebra Of The Structure And Nature Of Discussions

This paper introduces the definition of the q -Lie algebra,by definition we can see that the q-Lie algebra is a Lie algebra general promotion,that is to say,when we take a particular set of values,q -Lie algebra is the general Lie algebras.In the article,we follow the general q- Lie algebra is given the definition of the ideal,and then we defined the q-Lie algebra of solutions,nilpotent,and q-Lie algebras with the fundamental theorem states.Thereafter,we give a specific q-Lie algebras and semi-simple q-Lie algebra definition.The second part of the article,we introduced the concept of q-Lie algebras mode,as well as with the state-Lie algebra course,we are given to us by this specific q-Lie algebra,but also in its definition of the above model,as well as die with the state.With these next after we are given specific q-Lie algebra and algebra universal enveloping algebra,and we find out what we are given the universal envelope of a group of algebra. Finally,we defined the free q - Lie algebra,and is one of its Universal property.The article finally,gave an account of the need to resolve the issue, finally,we want to implicit in the Lie algebra to determine the relationship between the internal down,so that we can continue to study the q-Lie algebra of quantum group.