Cellules de Kazhdan-Lusztig et correspondance de Robinson-Schensted

Translated title of the contribution: Kazhdan–Lusztig cells and Robinson–Schensted correspondence

Lacrimioara Iancu

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

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 contributionKazhdan–Lusztig cells and Robinson–Schensted correspondence
Original languageFrench
Pages (from-to)791-794
Number of pages4
JournalComptes Rendus Mathematique
Volume336
Issue number10
Early online date8 May 2003
DOIs
Publication statusPublished - 15 May 2003

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