Geodesic
Simplicity of the branching of representations of the groups GL$(n,q)$ the parabolic restriction: an elementary proof
Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 2, pp. 82-87 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is well known that the branching of representations of the groups $\operatorname{GL}(n,q)$ under the parabolic restriction is simple. Apparently, an elementary proof of this important fact has not been found so far. We present such a proof, which uses a method not standard for the representation theory of finite groups.
Keywords: representation of $\operatorname{GL}(n,q)$, simplicity of branching, parabolic restriction. 
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E. E. Goryachko. Simplicity of the branching of representations of the groups GL$(n,q)$ the parabolic restriction: an elementary proof. Funkcionalʹnyj analiz i ego priloženiâ, Tome 44 (2010) no. 2, pp. 82-87. http://geodesic.mathdoc.fr/item/FAA_2010_44_2_a7/

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