2006/09/11 by Cédric Bonnafé, Meinolf Geck, Bonnafé, Cédric +5
Mathematics · #20C08 #Combinatorics (math.CO) #FOS: Mathematics #Representation Theory (math.RT) #math.CO #math.RT #msc:20C08
paper · pdf · doi:10.48550/arxiv.math/0609279
22 pages; minor corrections
arxiv created 2007/03/19 · arxiv updated 2009/12/01
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 Bn 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.