Categorification of ( induced ) cell modules and the rough structure of generalized verma modules

@inproceedings{Mazorchuk2007CategorificationO,
  title={Categorification of ( induced ) cell modules and the rough structure of generalized verma modules},
  author={Volodymyr Mazorchuk and Catharina Stroppel},
  year={2007}
}
This paper presents categorifications of (right) cell modules and induced cell modules for Hecke algebras of finite Weyl groups. In type A we show that these categorifications depend only on the isomorphism class of the cell module, not on the cell itself. Our main application is multiplicity formulas for parabolically induced modules over a reductive Lie algebra of type A, which finally determines the so-called rough structure of generalized Verma modules. On the way we present several… CONTINUE READING
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