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Left cells in type  with unequal parameters
Author(s):
Cédric
Bonnafé;
Lacrimioara
Iancu
Journal:
Represent. Theory
7
(2003),
587-609.
MSC (2000):
Primary 20C08;
Secondary 20C15
Posted:
November 19, 2003
MathSciNet review:
2017068
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Abstract:
Kazhdan and Lusztig have shown that the partition of the symmetric group  into left cells is given by the Robinson-Schensted correspondence. The aim of this paper is to provide a similar description of the left cells in type  for a special class of choices of unequal parameters. This is based on a generalization of the Robinson-Schensted correspondence in type  . We provide an explicit description of the left cell representations and show that they are irreducible and constructible.
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Additional Information:
Cédric
Bonnafé
Affiliation:
Laboratoire de Mathématiques de Besançon, Université de Franche-Comté, 16 Route de Gray, 25030 Besançon Cedex, France
Email:
bonnafe@math.univ-fcomte.fr
Lacrimioara
Iancu
Affiliation:
Laboratoire de Mathématiques de Besançon, Université de Franche-Comté, 16 Route de Gray, 25030 Besançon Cedex, France --- and --- Facultatea de Stiinte, Universitatea de Nord Baia Mare, Victoriei 76, RO-4800 Baia Mare, Romania
Email:
iancu@math.univ-fcomte.fr
DOI:
10.1090/S1088-4165-03-00188-2
PII:
S 1088-4165(03)00188-2
Received by editor(s):
February 4, 2003
Received by editor(s) in revised form:
September 17, 2003
Posted:
November 19, 2003
Copyright of article:
Copyright
2003,
American Mathematical Society
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