On domino insertion and Kazhdan--Lusztig cells in type $B_n$

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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 $B_n$ 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.
22 pages; minor corrections

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Representation Theory, Combinatorics, 20C08

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http://salesiana.dossiersoluciones.com/handle/123456789/125840

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609279
 http://arxiv.org/abs/math/0609279

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arXiv