Open AccessLeft cells in type đ”_{đ} with unequal parameters
Author(s) -
Cédric Bonnafé,
LÄcrimioara Iancu
Publication year - 2003
Publication title -
representation theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.169
H-Index - 37
ISSN - 1088-4165
DOI - 10.1090/s1088-4165-03-00188-2
Subject(s) - algorithm , annotation , type (biology) , artificial intelligence , computer science , biology , ecology
Kazhdan and Lusztig have shown that the partition of the symmetric group S n {\mathfrak {S}}_n into left cells is given by the RobinsonâSchensted correspondence. The aim of this paper is to provide a similar description of the left cells in type B n B_n for a special class of choices of unequal parameters. This is based on a generalization of the RobinsonâSchensted correspondence in type B n B_n . We provide an explicit description of the left cell representations and show that they are irreducible and constructible.