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On Kazhdan-Lusztig cells in type B

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Abstract

We prove that, for any choice of parameters, the Kazhdan-Lusztig cells of a Weyl group of type B are unions of combinatorial cells (defined using the domino insertion algorithm).

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Author information

Correspondence to Cédric Bonnafé.

Additional information

The author is partly supported by the ANR (Project No JC07-192339).

An erratum to this article can be found at http://dx.doi.org/10.1007/s10801-012-0351-7

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Bonnafé, C. On Kazhdan-Lusztig cells in type B . J Algebr Comb 31, 53 (2010) doi:10.1007/s10801-009-0183-2

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Keywords

  • Weyl group
  • Type B
  • Kazhdan-Lusztig theory
  • Unequal parameters
  • Cells