Multilinear mapping and symmetrical decomposition of tensor space

摘要

We will give generalized symmetrical decomposition of multilinear mapping and tensor space by use of idempotent orthogonal class system on G in this paper. Of course it is based on the correspending decomposition of multilinear algebra. It is illustrated the symmetry of idcmpotent orthogonal class system is the strict generalization of that multilinear algebra about G and character through examples in this paper.