G-identities for the Lie algebra sl2(C)

In each one of the above cases we describe a basis of the G-identities for sl2(C). In order to do that we use the explicit form of the graded identities for sl2(C) as well as properties of the group algebras of the corresponding groups. The same problem for the associative algebra M2(C) of the 2×2 matrices was settled by A. Berele in 2004.