Geodesic
Rank k Vectors in Symmetry Classes of Tensors
Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 67-76

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Let F be a field, G a subgroup of S m , the symmetric group of degree m, and χ a linear character on G, i.e., a homomorphism of G into the multiplicative group of F. Let V 1,...,V m be vector spaces over F such that Vi = V σ(i) for i=1,...,m and for all σ∈G. If W is a vector space over F, then a m-multilinear function is said to be symmetric with respect to G and χ if for any σ ∊ G and for arbitrary xi ∊ Vi. 
Lim, Ming-Huat. Rank k Vectors in Symmetry Classes of Tensors. Canadian mathematical bulletin, Tome 19 (1976) no. 1, pp. 67-76. doi: 10.4153/CMB-1976-009-1
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     title = {Rank k {Vectors} in {Symmetry} {Classes} of {Tensors}},
     journal = {Canadian mathematical bulletin},
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     year = {1976},
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     doi = {10.4153/CMB-1976-009-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-009-1/}
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