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|
|Number of pages||4|
|Journal||Comptes Rendus Mathematique|
|Early online date||8 May 2003|
|Publication status||Published - 15 May 2003|