What is the meaning of the Lie Group SU/And E?
The subject of Lie groups is quite broad, and there are a number of books devoted to it. There is really no way to do the subject justice via a short explanation. However, hopefully this short explanation might help. SU(N) is a Lie Group of N by N unitary unimodular matrices. The “U” stands for Unitary, and a Unitary Matrix U satisfies U times its hermitian conjugate is Unity (i.e., UU+=1). Hence, its determinant is equal +1 or -1. “S” stands for special in that the determinant is restricted to be +1. Such a Lie group is characterized by N continuous parameters. Its generators Ta , a = 1,..,N satisfy the commutation relations [Ta, Tb ] = fabc Tc. The f’s are known as structure constants. They are antisymmetric in their indices.
