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 journalArticle

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.

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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