Left cells in type B_n with unequal parameters

2003/02/04 by C. Bonnafe, Bonnafe, C., L. Iancu +1
Mathematics · #20C08 #20C15 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #math.GR #math.RT #msc:20C08 #msc:20C15

paper · pdf · doi:10.48550/arxiv.math/0302037

26 pages

arxiv created 2003/02/04 · arxiv updated 2009/11/30

Abstract

Kazhdan and Lusztig have shown that the partition of the symmetric group of degree n 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 B_n for a special class of choices of unequal parameters. This is based on a generalization of the Robinson-Schensted correspondence for type B_n. We also give an explicit description of the left cell representations and show that they are irreducible and constructible.

Related

• Robinson-Schensted correspondence and left cells
• Left cells and constructible representations
• Computing Kazhdan--Lusztig cells for unequal parameters
• On the Kazhdan--Lusztig cells in type E₈
• Equivalence Classes in the Weyl groups of type B_n