Geodesic
Gelfand models and Robinson-Schensted correspondence
Journal of Algebraic Combinatorics, Tome 36 (2012) no. 2, pp. 175-207.

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Summary: In F. Caselli (Involutory reflection groups and their models, J. Algebra 24:370-393, 2010), a uniform Gelfand model is constructed for all nonexceptional irreducible complex reflection groups which are involutory. Such models can be naturally decomposed into the direct sum of submodules indexed by S $_{ n }$-conjugacy classes, and we present here a general result that relates the irreducible decomposition of these submodules with the projective Robinson-Schensted correspondence. This description also reflects, in a very explicit way, the existence of split representations for these groups.
Keywords: complex reflection groups, characters and representations of finite groups, Clifford theory 
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     author = {Caselli, Fabrizio and Fulci, Roberta},
     title = {Gelfand models and {Robinson-Schensted} correspondence},
     journal = {Journal of Algebraic Combinatorics},
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     number = {2},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2012__36_2_a7/}
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Caselli, Fabrizio; Fulci, Roberta. Gelfand models and Robinson-Schensted correspondence. Journal of Algebraic Combinatorics, Tome 36 (2012) no. 2, pp. 175-207. http://geodesic.mathdoc.fr/item/JAC_2012__36_2_a7/