Crystal Graphs and Q-analogues of Weight Multiplicities for the Root System a N

@inproceedings{Leclercy1995CrystalGA,
  title={Crystal Graphs and Q-analogues of Weight Multiplicities for the Root System a N},
  author={Bernard Leclercy and Jean-Yves ThibonzAbstractWe},
  year={1995}
}
  • Bernard Leclercy, Jean-Yves ThibonzAbstractWe
  • Published 1995
We give an expression of the q-analogues of the multiplicities of weights in ir-reducible sl n+1-modules in terms of the geometry of the crystal graph attached to the corresponding U q (sl n+1)-modules. As an application, we describe multivari-ate polynomial analogues of the multiplicities of the zero weight, reening Kostant's generalized exponents. 
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