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.
| 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 |
Cite this
Cellules de Kazhdan-Lusztig et correspondance de Robinson-Schensted. / Iancu, Lacrimioara.
In: Comptes Rendus Mathematique, Vol. 336, No. 10, 15.05.2003, p. 791-794.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Cellules de Kazhdan-Lusztig et correspondance de Robinson-Schensted
AU - Iancu, Lacrimioara
PY - 2003/5/15
Y1 - 2003/5/15
N2 - 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.
AB - 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.
U2 - 10.1016/S1631-073X(03)00172-9
DO - 10.1016/S1631-073X(03)00172-9
M3 - Article
VL - 336
SP - 791
EP - 794
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
SN - 1631-073X
IS - 10
ER -