Orthonormal bases of symmetry classes with computer-generated examples

Ohoe Kim, John Chollet, Ralf D. Brown, David Edward. Rauschenberg · Linear and Multilinear Algebra · 1987

A method is given for constructing an orthonormal basis of a symmetry class of tensor whose associated group is the full symmetric group. This construction has been used to write a computer program which efficiently calculates a basis for any such symmetry class. Two examples which illustrate both the method and the program are included.

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