On domino insertion and Kazhdan--Lusztig cells in type $B_n$
Representation Theory
2007-05-23 v2 Combinatorics
Abstract
Based on empirical evidence obtained using the {\sf CHEVIE} computer algebra system, we present a series of conjectures concerning the combinatorial description of the Kazhdan--Lusztig cells for type with unequal parameters. These conjectures form a far-reaching extension of the results of Bonnaf\'e and Iancu obtained earlier in the so-called ``asymptotic case''. We give some partial results in support of our conjectures.
Cite
@article{arxiv.math/0609279,
title = {On domino insertion and Kazhdan--Lusztig cells in type $B_n$},
author = {Cédric Bonnafé and Meinolf Geck and Lacrimioara Iancu and Thomas Lam},
journal= {arXiv preprint arXiv:math/0609279},
year = {2007}
}
Comments
22 pages; minor corrections