Investigating Particular Representations for Matrix Lie Groups SO(3) and SL(2,₵)
Lie
groups
Complexification of Lie algebras
Tensor of representations
A complexified adjoint representations of the complexification Lie algebras associated with the special orthogonal group SO(3) and special linear group SL(2,₵) have been obtained. A new representation of their tensor product is naturally arisen and computed in details.