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Orthogonal bases of symmetrized tensor spaces

By Randall R. Holmes


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 alternating group as conjectured by T.-Y. Tam and the author

Year: 1995
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