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Article Dans Une Revue Representation theory : An Electronic Journal of the American Mathematical Society Année : 2003

Left cells in type $B_n$ with unequal parameters

Résumé

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.

Dates et versions

hal-00318671 , version 1 (04-09-2008)

Identifiants

Citer

Cédric Bonnafé, Lacri Iancu. Left cells in type $B_n$ with unequal parameters. Representation theory : An Electronic Journal of the American Mathematical Society, 2003, 7, pp.587-609. ⟨10.1090/S1088-4165-03-00188-2⟩. ⟨hal-00318671⟩
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