Left cells in type Bn with unequal parameters
Abstract
Kazhdan and Lusztig have shown that the partition of the symmetric group of degree n into left cells is given by the Robinson-Schensted correspondence. The aim of this paper is to provide a similar description of the left cells in type Bn for a special class of choices of unequal parameters. This is based on a generalization of the Robinson-Schensted correspondence for type Bn. We also give an explicit description of the left cell representations and show that they are irreducible and constructible.
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