Left cells in type Bn with unequal parameters, Represent. Theory 7

@inproceedings{2003LeftCI,
  title={Left cells in type Bn with unequal parameters, Represent. Theory 7},
  author={},
  year={2003}
}
  • Published 2003
Kazhdan and Lusztig have shown that the partition of the symmetric group Sn 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 in type Bn. We provide an explicit description of the left cell representations and show that they are irreducible and constructible.