• Corpus ID: 236087384

A Generalization of Deodhar's Framework for Questions in Kazhdan-Lusztig Theory

@inproceedings{Agrawal2021AGO,
  title={A Generalization of Deodhar's Framework for Questions in Kazhdan-Lusztig Theory},
  author={Rohit Agrawal and Vladimir Sotirov},
  year={2021}
}
We make progress on a question of Skandera by showing that a product of Kazhdan-Lusztig basis elements indexed by maximal elements of parabolic subgroups admits a Kazhdan-Lusztig basis element as a quotient arising from operations in the Schur algebroid if and only if the sequence of parabolic subgroups satisfy both a rigidity condition and a combinatorial criterion. For Weyl groups, the rigidity condition specializes to a necessary condition for smallness of Gelfand-MacPherson resolutions. For…