Geodesic
On the Dimension of an Irreducible Tensor Representation of the General Linear Group GL(d)
Canadian mathematical bulletin, Tome 13 (1970) no. 3, pp. 389-390

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As has long been known, the irreducible tensor representations of GL(d) of rank n may be labeled by means of the irreducible representations of S n , i.e., by means of the Young diagrams [λ], where λ 1 + λ 2 + ... λ r = n. We denote such a tensor representation by 〈λ〉. Using Young's raising operator R ij we can write [1, p. 42] 1.1 where the dot denotes the inducing process. For example, [3] . [2] is that representation of S 5 induced by the identity representation of its subgroup S 3 × S 2. 
Matthews, J. A. J.; Robinson, G. de B. On the Dimension of an Irreducible Tensor Representation of the General Linear Group GL(d). Canadian mathematical bulletin, Tome 13 (1970) no. 3, pp. 389-390. doi: 10.4153/CMB-1970-075-2
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     title = {On the {Dimension} of an {Irreducible} {Tensor} {Representation} of the {General} {Linear} {Group} {GL(d)}},
     journal = {Canadian mathematical bulletin},
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     year = {1970},
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