Scalar Irreducible Parts of Sixth Rank Tensor PDF

Keywords

Cartesian tensor, decomposition, Irreducible parts

Abstract

A reduction procedure for decomposing a Cartesian tensor of rank into its irreducible parts is given. The numbers of different irreducible parts of the sixth rank Cartesian tensor are calculated. The number of independent contractors of sixth rank Cartesian tensor is computed. The scalar normalized irreducible parts of sixth rank Cartesian tensor are presented. Examples of different symmetry of sixth rank tensors are given.