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Left cells in type $B_n$ with unequal parameters

C. Bonnafe·L. Iancu
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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 $B_n$ for a special class of choices of unequal parameters. This is based on a generalization of the Robinson-Schensted correspondence for type $B_n$. We also give an explicit description of the left cell representations and show that they are irreducible and constructible.

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BibTeXRIS

C. Bonnafe, L. Iancu. 2003-02-04. Left cells in type $B_n$ with unequal parameters. https://arxiv.org/abs/math/0302037

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