On Domino Insertion and Kazhdan–Lusztig Cells in Type Bn

By C'edric Bonnaf'e, Meinolf Geck, L. Iancu, Thomas Lam. 2006

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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 Bonnafe and Iancu obtained earlier in the so-called asymptotic case. We give some partial results in support of our conjectures.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c33f39935fc66d21da098415c0d727e6802a2e57