02-22
A Note on the Orthogonal Basis of a Certain Full Symmetry Class of Tensors
by Bessenrodt, C.; Pournaki, M. R.; Reifegerste, A.
Preprint series: 02-22, Preprints
- MSC:
- 20C30 Representations of finite symmetric groups
- 15A69 Multilinear algebra, tensor products
Abstract: It is shown that the full symmetry class of tensors associated with the irreducible character $[2, 1^{n-2}]$ of $S_n$ does not have an orthogonal basis consisting of decomposable symmetrized tensors.
Keywords: (Full) symmetry class of tensors, orthogonal basis, decomposable symmetrized tensor, irreducible characters of the symmetric group
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