1. Department of Mathematics and Statistics , Auburn University , Auburn , AL 36849 , USA holmerr@auburn.edu;3. Department of Mathematics and Statistics , Auburn University , Auburn , AL 36849 , USA
Abstract:
In this article necessary and sufficient conditions are given for the existence of an orthogonal basis consisting of standard (decomposable) symmetrized tensors for the class of tensors symmetrized using a Brauer character of the dihedral group.