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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