Path representation of maximal parabolic Kazhdan-Lusztig polynomials
Keiichi Shigechi, Paul Zinn-Justin
Journal of Pure and Applied Algebra | ELSEVIER | Published : 2012
We provide simple rules for the computation of Kazhdan-Lusztig polynomials in the maximal parabolic case. They are obtained by filling regions delimited by paths with "Dyck strips" obeying certain rules. We compare our results with those of Lascoux and Schützenberger. © 2012 Elsevier B.V.
Awarded by ANR program "GRANMA"
KS's work is part of the research programme of the Foundation for Fundamental Research on Matter (FOM), which is financially supported by the Netherlands Organisation for Scientific Research (NWO). PZJ acknowledges partial support from ESF program "MISGAM", ANR program "GRANMA" BLAN08-1-13695, and KNAW's visiting professors programme.