Geodesic
The Garnir relations for Weyl groups of type \(C_n\).
The electronic journal of combinatorics, Tome 15 (2008)
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The Garnir relations play a very important role in giving combinatorial constructions of representations of the symmetric groups. For the Weyl groups of type $C_n$, having obtained the alternacy relation, we give an explicit combinatorial description of the Garnir relation associated with a $\Delta$-tableau in terms of root systems. We then use these relations to find a $K$-basis for the Specht modules of the Weyl groups of type $C_n$.
DOI : 10.37236/797
Classification : 20F55, 05E10, 20C30
Mots-clés : Garnir relations, representations of symmetric groups, Weyl groups, tableaux, root systems, Specht modules 
@article{10_37236_797,
     author = {Himmet Can},
     title = {The {Garnir} relations for {Weyl} groups of type {\(C_n\).}},
     journal = {The electronic journal of combinatorics},
     year = {2008},
     volume = {15},
     doi = {10.37236/797},
     zbl = {1167.20327},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/797/}
}
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Himmet Can. The Garnir relations for Weyl groups of type \(C_n\).. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/797

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