Orthogonal bases of symmetrized tensor spaces |
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Authors: | Randall R Holmes |
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Institution: |
a Department of Mathematics, Auburn University, AL |
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Abstract: | It is shown that a symmetrized tensor space does not have an orthogonal basis consisting of standard symmetrized tensors if the associated permutation group is 2-transitive. In particular, no such basis exists if the group is the symmetric group or the algernating group as conjectured by T.-Y. Tam and the author. |
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