Representation Theory of Algebraic Groups and Quantum Groups

Volume 284 of the series Progress in Mathematics pp 33-54


On Domino Insertion and Kazhdan–Lusztig Cells in Type B n

  • Cédric Bonnafé
  • , Meinolf GeckAffiliated withInstitute of Mathematics, King’s College, Aberdeen University Email author 
  • , Lacrimioara Iancu
  • , Thomas Lam


Based on empirical evidence obtained using the CHEVIE computer algebra system, we present a series of conjectures concerning the combinatorial description of the Kazhdan–Lusztig cells for type B n with unequal parameters. These conjectures form a far-reaching extension of the results of Bonnafé and Iancu obtained earlier in the so-called asymptotic case. We give some partial results in support of our conjectures.


Coxeter groups Kazhdan-Lusztig cells Domino insertion