Abstract
Kazhdan and Lusztig have introduced (left, right and two-sided) cells in an arbitrary Coxeter group. For the symmetric group, they showed that these cells are given by the Robinson-Schensted correspondence. Here, we describe a Robinson-Schensted correspondence for the complex reflection groups G(e. 1. n). In a recent joint work with C. Bonnafe, we have shown that, in the case e = 2 (where G(2, 1, n) is the Coxeter group of type B-n), this correspondence determines the Kazhdan-Lusztig cells with respect to certain unequal parameters. (C) 2003 Academie des sciences. Publie par Editions scientifiques et medicales Elsevier SAS. Tous droits reserves.
| Translated title of the contribution | Kazhdan–Lusztig cells and Robinson–Schensted correspondence |
|---|---|
| Original language | French |
| Pages (from-to) | 791-794 |
| Number of pages | 4 |
| Journal | Comptes Rendus Mathematique |
| Volume | 336 |
| Issue number | 10 |
| Early online date | 8 May 2003 |
| DOIs | |
| Publication status | Published - 15 May 2003 |