English

Andersen Filtration and Hard Lefschetz

Representation Theory 2009-03-18 v3

Abstract

On the space of homomorphisms from a Verma module to an indecomposable tilting module of the BGG-category O we define a natural filtration following Andersen and establish a formula expressing the dimensions of the filtration steps in terms of coefficients of Kazhdan-Lusztig polynomials.

Keywords

Cite

@article{arxiv.math/0604590,
  title  = {Andersen Filtration and Hard Lefschetz},
  author = {Wolfgang Soergel},
  journal= {arXiv preprint arXiv:math/0604590},
  year   = {2009}
}

Comments

English version of math.RT/0604589, v3 revised translation